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Loyola College M.Sc. Zoology April 2003 Biostatistics Question Paper PDF Download

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LOYOLA  COLLEGE (AUTONOMOUS), CHENNAI-600 034.

M.Sc. DEGREE  EXAMINATION  – ZOOLOGY

second SEMESTER  – APRIL 2003

ZO 2803 / Z  825  biostatistics

24.04.2003

1.00 – 4.00                                                                                          Max: 100 Marks

 

PART –  A                                      (10 ´ 2 = 20 Marks)

Answer ALL questions.

 

  1. Differentiate between random and non random sampling.
  2. Define range. How is it estimated?
  3. What are the parameters of binomial distribution?
  4. What is co-efficient of variance?
  5. Differenciate Hypothesis and Null Hypothesis.
  6. Define the terms -Mean, mode and median.
  7. Explain methods of collecting secondary data?
  8. Define Poisson’s distribution.
  9. What are Cartograms and Pictograms?
  10. What is standard deviation and standard error?

 

PART – B                                        (4 ´ 10 = 40 Marks)

Answer any four of the following

 

  1. In a distribution, skewness and kurtosis of data play a vital role. –
  2. Explain the structure of a ‘Table’ and its requirements.
  3. a) Draw a pie diagram of the following data and comment on it.

 

Organisms Number seen in water sample
Water bugs and insects 270
Paramecium 128
Earthworms 13
Frogs 4

 

  1. Pi e is a significant tool in diagramatic representation Justify.

 

  1. Draw a histogram, frequency polygon and cumulative frequency

curve for the following data given below

 

Humidity range 4.1.-6.0 6.1-8.0 8.1-10.0 10.1-12.0 12.1-14.0 14.1-16.0 16.1-18.0
Frequency (cms) 5 7 4 7 8 13 9

 

 

 

 

 

 

 

 

 

 

 

  1. Draw a tridimentional graph for the following data. The yield of crop in tonnes from 2000-

 

Year Wheat Paddy Pulses
2000 20 15 19
2001 27 13 14
2002 29 17 13
2003 30 19 17

 

  1. Write a note on the primary and secondary data collection and their classification.

 

PART – C                                       (2 ´ 20 = 40 Marks)

Answer any TWO of the following

  1. Give an account of different diagrammatic representations and tabulations

as statistical tools.

  1. In an experiment sterilization of dogs were done against rabies, the following results were obtained. Calculate c2 and discuss the effect of sterilization in controlling rabies in dogs (at 0.05% of X2 at df =1,T.V =3.84)

 

Type vaccinated Affected sterilized Not affected Non sterilized Total
Vaccinated 46 13 59
Non Vaccinated 31 29 60
Total 77 42 119

 

  1. In a study of relation between age and height, the following ratios were obtained

on a sample

X Age (yrs) 1 5 9 10 12 14 18 21 22
Y Height (cms) 30 60 75 84 120 127 147 158 162

 

  1. Obtain the regression equation for these data by least squares.
  2. Predict the ratio of age 4,7,11 and 13 yrs with respective heights.
  3. In a ‘High Crop’ a pesticide was used on three plots of land X,Y and Z; 4 beds were prepared in each plot and High crop was added. The output of the crops

in the beds of plots X, Y and Z are given respectively by ANOVA, find whether

the difference on the production of crops on the plots is significant or not at

V=11  (Table value 0.73)

 

Beds Plot  X Plot  Y Plot  Z
I 7 4 11
II 9 12 13
III 11 7 2
IV 13 16 14

 

 

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Loyola College M.Sc. Zoology April 2008 Biostatistics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

DE 27

M.Sc. DEGREE EXAMINATION – ZOOLOGY

SECOND SEMESTER – APRIL 2008

    ZO 2953 – BIOSTATISTICS

 

 

 

Date : 29/04/2008            Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

 

PART – A

Answer ALL the questions.                                                              10x 2 = 20 Marks

  1. What is probability distribution?
  2. What is standard deviation?
  3. Explain frequency polygon.
  4. What is meant by chance selection?
  5. What is the significance of chi square analysis?
  6. What is the significance of three dimensional graph?
  7. What is meant by degree of freedom?
  8. Differentiate primary and secondary data collection.
  9. What is co-efficient of range?
  10. Classify sampling techniques.

PART – B

Answer any FOUR of the following                                                 4 x 10 = 40 Marks

  1. How is a table formed? Give its components.
  2. What is the significance of ANOVA? How is it implemented.
  3. Draw a pie diagram for the following data and write its significance.
Cat 3
Bat 7
Calotes 12
Insects 23
Worms 17
  1. What are the different kinds of regression?
  2. What is Hardy Wein Berg law?

 

 

 

  1. Draw histogram and a cumulative frequency of the following data.
Young (size in mm) 1-4 4-8 8-12 12-16
Frequency (Number) 9 7 14 20

PART – C

Answer any TWO of the following                                                   2 x 20 = 40 Marks

  1. What are primary and secondary data? How is it documented?
  2. Write a note on computer applications in bio-statistics.
  3. Calculate chi square in the given data. Tvalue = 3.84 at df = 3
Affected NotAffected
Treated 7 9
UnTreated 17 2

 

  1. By ANOVA find if there is an increase in paddy production in different sub species in different plots. Tv=3.49
  1. A
  1. B
  1. C
  1. D
  1. 4
  1. 5
  1. 6
  1. 5
  1. 7
  1. 9
  1. 7
  1. 3
  1. 9
  1. 7
  1. 4
  1. 5
  1. 3
  1. 1
  1. 8
  1. 7

 

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Loyola College M.Sc. Zoology April 2011 Biostatistics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – ZOOLOGY

SECOND SEMESTER – APRIL 2011

ZO 2956 – BIOSTATISTICS

 

 

Date : 11-04-2011             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

       PART – A                                          2 x 10 = 20  Marks

I           Answer ALL the questions.

 

  1. Differentiate hypothesis from null hypothesis.
  2. What is regression equation?
  3. What is co-efficient of range?
  4. What is meant by degree of freedom?
  5. What is scatter points?
  6. What is the significance of histogram?
  7. Define mean and median.
  8. Explain poissons equation.
  9. How is p+q = 1 proved?
  10. What is standard deviation?

 

 

PART – B                                    4 x 10 = 40 Marks

II         Answer any FOUR of the following

 

  1. What are primary and secondary data? How is it documented?
  2. Differentiate skewness from kurtosis?
  3. Draw a pie diagram for the following data and write its significance.

 

Centipede 11
Millipede 19
Calotes 3
Cockroaches 20
Worms 17

 

14   Calculate chi square in the given data. Tvalue = 3.84. Comment on significance of treatment

 

Affected NotAffected
Treated 9 17
UnTreated 7 4

 

15   What are the components of a table?

 

 

 

 

 

 

16   Draw histogram and a cumulative frequency of the following data.

 

Adult (size in mm) 1-5 5-10 10-15 15-20
Frequency (Number) 11 17 3 14

 

 

 

 

 

PART – C                                    2 x 20 = 40 Marks

III        Answer any TWO of the following

 

 

  1. The following table shows the effectiveness of Anti–biotics X in killing virus Y. Find regression equation X on Y. When Y=11,13 and 17 respectively.

 

Antibiotics X 7 9 16 4 28
Virus Y 5 7 6 7 23

 

  1. What are the different graphs and diagrams in bio statistical representation of data.

 

  1. Find standard deviation and standard error from the following data.

 

Wt (gm) 1.1-3.0 3.1-6.0 6.1-9.0 9.1-12.0 12.1-15 15.1-18
Frequency 11 9 23 7 19 3

 

  1. By ANOVA find if there is an increase in millet production in different sub species in different plots. Tv=3.49
A B C D
4 3 1 5
2 7 6 9
6 2 7 2
4 4 10 4

 

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Loyola College M.Sc. Zoology April 2012 Biostatistics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – ZOOLOGY

SECOND SEMESTER – APRIL 2012

ZO 2956 – BIOSTATISTICS

 

 

Date : 24-04-2012             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

PART – A                                          10 x 2 = 20  Marks

 

I Answer ALL the questions:

  1. What is the significance of student t test?
  2. How do you find range?
  3. Explain binomial equation.
  4. Comment on sampling techniques.
  5. What is Hardy Weinburg’s law?
  6. Differentiate primary from secondary data.
  7. What is standard error?
  8. Differentiate histogram from bar diagram.
  9. What is correlation?
  10. Explain degree of freedom?

 

 

PART – B                                    4 x 10 = 40 Marks

 

II Answer any FOUR of the following:

 

  1. What are the different kinds of regression?
  2. What are the components of a table?
  3. Draw a pie diagram for the following data and write its significance.

 

Earthworm 12
Cockroach 11
Millipede 9
Centipede 17
Bugs 16

14   What is skewness and kurtosis?

15   What are the different types of co-efficient of correlation?

 

 

 

 

16   Calculate the chi square for the following table and find if there is any significance between RBC and Hb.

RBC Count Hb Below Normal Hb Above Normal
Below Normal 64 120
Above Normal 141 173

 

 

PART – C                                2 x 20 = 40 Marks

 

III Answer any TWO of the following:

 

  1. Write a note on SPSS applications in bio-statistics.
  2. What is the significance of graphs and diagrams?
  3. By ANOVA find if there is an increase in maize production in different sub species in different plots. Tv=3.49
A B C D
6 7 9 7
8 9 11 6
7 5 8 4
3 7 4 3

 

  1. The following table shows the age x and BP of six individuals. Find regression equation of X on Y and estimate BP of a person of 61, 68 and 75 years respectively.

 

Age (x) 29 41 63 69 80 78
BP (Y) 131 139 140 153 171 133

 

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Loyola College B.Sc. Plant Biology and Biotechnology Nov 2006 Biostatistics Question Paper PDF Download

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                        LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PLANT BIOLOGY & BIOTECHNOLOGY

AB 07

THIRD SEMESTER – NOV 2006

ST 3201 – BIOSTATISTICS

 

 

Date & Time : 31-10-2006/9.00-12.00   Dept. No.                                                       Max. : 100 Marks

 

 

SECTION A

Answer all questions.                                                                        (10×2=20)

  1. What is a histogram? Mention its use.
  2. Comment on the following statement: “Arithmetic mean is always the best measure of central tendency”.
  3. Give the various measures of dispersion.
  4. What is the probability of getting the sum as 5 when two dice are thrown?
  5. The distribution function of a random variable ‘X’ is as follows:

X:        -1         0          1

P[X=x]:       ¼         ½         ¼ .  Find E(X+2).

  1. Give any two properties of normal distribution.
  2. Define ‘Statistic’. Give an example for the same.
  3. From a random sample of 50 observations the mean and variance are found to be 10.1 and 2.3 respectively. Based on the above information can it be concluded that the population mean is 9 ? Test at 5% level.
  4. Mention any one use of F – distribution.
  5. Show that for a standardized random variable, the mean and variance are zero and one respectively.

 

SECTION B

Answer any five questions.                                                         (5×8=40)

 

  1. Calculate mean, median and mode from the following data:

Marks: 10-19   20-29   30-39   40-49   50-59   60-69   70-79

           No. of students:   8         19        29        36        25        13         4     

  1. The Serum – cholesterol levels (mg/dL) of 10 patients are given below:                                                                                 195,145,205,159,244,166,250,236,192,224. Draw a box – plot for the above data and interpret it.
  2. A problem in statistics is given to 3 students P, Q and R whose chances of solving it are 1/3,1/4 and 2/5 respectively. What is the probability that ) exactly one will solve the problem b.) no one will solve the problem?
  3. If the height of 300 students is normally distributed with mean 68 inches and standard deviation 2.5 inches, how many students have height: ) greater than 72 inches           b.) less than 60 inches                                      c.) between 65 and 71 inches.
  4. Consider a population with N=6 units, the values being 12,14,10,14,15,12. Select all possible samples of size 2 and verify whether the sample mean is an unbiased estimator for the population mean.
  5. What are ‘large sample tests’? Explain any one test procedure based on large samples.
  6. Suppose a study to examine the relative efficacy of pencillin and spectinomycin in the treatment of gonorrhea is conducted. Three treatments are looked at (1) pencillin, (2) spectinomycin, low dose and (3) spectinomycin, high dose. Three responses are recorded: (1) positive smear, (2) negative smear, positive culture and (3) negative smear, negative culture. The data obtained is given below:

                                                                         Response

Treatment            + smear      – smear, + culture      – smear, – culture

                     Pencillin                  40                     30                              130

                     Sceptinomycin        10                     20                               70

                     (low dose)

                     Sceptinomycin        15                     40                               45

                     (high dose)

                 Test whether there is any relationship between the type of treatment and

the response at 5% level.

 

  1. Explain the procedure for testing a specified value of Population median.

 

                                                           SECTION C

      Answer any two questions.                                                         (2×20=40)

  

  1. a.) Find mean deviation about mean and median and their coefficients

from the following data:

X: 10         17         20           24              14

f:  5           12        18           12               3

b.) Assume that a factory has two machines. Past records show that

machine 1 produces 30% of the items of the output and machine 2

produces 70% of the items. Further 5% of the items produced by

machine 1 were defective and only 1% produced by machine 2

were defective. If a defective item is drawn at random, what is the

probability that it was produced by a.) machine 1  b.) machine 2 ?

(12+8)

  1. a.) If 20% of the bolts produced by a machine are defective, determine

the probability that out of 4 bolts chosen at random i.) one  ii.) none

will be defective.

b.) A typist in a company commits the following number of mistakes per

page in typing 432 pages:

Mistakes per page:      0       1        2        3        4

No. of pages:     223    142     48     15       4

Fit a Poisson distribution to the above data and test the goodness of fit

at 5% level.

c.) Define the following terms:

i.) random experiment   ii.) sample space   iii.) event.         (4+12+4)

 

  1. a.) In a random sample of 800 people from city A, 220 were found

having typhoid while in a random sample of 600 people from

city B 145 were having typhoid. Test at 5% level whether the

proportion of people suffering from typhoid in the two cities are

equal.

b.) Below are given the gains in weights(lb.) of lions fed on two diets

X and Y respectively:

Diet X: 25       32        30        32        24        14        32

Diet Y:            24        34        22        30        42        31        40        30                                32        35

Test, at 5% level, whether the mean gain in weight between the two

diets is significant.                                                                    (8+12)

 

22 a.) Let M be the median lung capacity in liters for males. Use the

Wilcoxon statistic with the following 17 observations to test, at 5%

level, the null hypothesis H0: M = 4.7 against a two sided alternative

hypothesis:

4.3     5.0       5.7       6.2       4.8       4.7       5.6       5.2       3.7                     4.0     5.6       6.8       4.9            7.6       5.4       3.8       5.6

b.) Explain the following:

i.) Random Variable

ii.) Addition theorem of probability

iii.) Percentiles

iv.) Type 1 Error.                                                                     (10+10)

 

 

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Loyola College B.Sc. Plant Biology and Biotechnology April 2009 Biostatistics Question Paper PDF Download

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   LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PLANT BIOLOGY & BIOTECHNOLOGY

YB 10

THIRD SEMESTER – April 2009

ST 3203 / 3201 – BIOSTATISTICS

 

 

 

Date & Time: 16/04/2009 / 1:00 – 4:00         Dept. No.                                                       Max. : 100 Marks

 

 

 

SECTION A

Answer all questions.                                                                        (10 x 2 = 20)

 

  1. What is meant by quantitative and qualitative data?
  2. Mention any two properties of arithmetic mean.
  3. Define: Independent events.
  4. Let A, B and C be three mutually exclusive and exhaustive events with           P(A) = P(B) / 2 , P(B) = 3 P(C) . Find P(A), P(B) and P(C).
  5. What is the probability of obtaining three heads in a toss of four unbiased coins?
  6. Let X be a random variable with the following probability distribution

X:        -1         0          1          2

P[X=x]:        0.3       0.2       0.2       0.3

Find the distribution of Y = X2.

  1. Mention any two uses of t-distribution.
  2. Define the term ‘Statistic’.
  3. Interpret the following confidence interval:

Pr(1.2 < μ < 2.7) = 0.99

  1. What are Type 1 error and Type II error?

 

 

SECTION B

Answer any five questions.                                                         (5 x 8 = 40)

 

  1. Calculate mean, median and mode for the following data

Weight: 50-55    55-60    60-65    65-70    70-75    75-80

No. of patients:    10          8           14          9           5            2

  1. Explain the concept of correlation and regression with an example each.
  2. Let X be a normally distributed random variable with mean 57 and variance 20. Find   a) P(X>62)
  1. b) P(42<X<50)
  2. c) P(X< 70)
  1. Explain the various steps involved in hypothesis testing.
  2. The following data gives the age of 10 randomly chosen patients admitted in the intensive care unit of a hospital in a given week.

40, 52, 48, 63, 37, 24, 49, 58, 69, 75.

Can it be concluded, based on the above information, that the mean age of

all the patients admitted in the given week is more than 55? Test at 5 %  level.

  1. Of the 215 subjects who were black, 58 had diabetes mellitus. Of the 1140 white subjects, 217 had diabetes mellitus. Construct a 90 % confidence interval for the difference between the two population proportions. What are the relevant population proportions?
  2. Explain the Mann – Whitney test to test the equality of median of two populations.
  3. Fit a binomial distribution to the following frequency distribution.

X:        0          1          2          3          4

f:        12        15        18        14        10

 

                                                       SECTION C

Answer any two questions.                                                   (2 x 20 = 40)

 

  1. a.) Draw a Box – Plot and examine the Skewness of the following
    frequency  distribution:

No. of children per family:     0          1          2          3          4          5         6                                                     No. of families:           7          10        16        25        18        11       8

b.) The following data gives the Blood Pressure (Y) and age (X) of 10
patients:

Y:        78        64        89        94        88        72        90        82

X:        28        45        52        49        37        41        56        24

Fit a linear regression of Y on X and obtain the least square estimates of
the intercept and slope parameters. Also interpret the results     (8+12)

 

  1. a.) The following data (Sample A and Sample B)denotes the age (in

months) at which infants walked alone from two populations A and B.

Sample A:       9.5       10.5     9.0       9.75     10.0     13.0     10.0                                                     13.5      10.0     9.5       10.0     9.75

Sample B:        12.5     9.5       13.5     13.75   12.0     13.75   12.5                                                     9.5      12.0     13.5     12.0     12.0

Do the above sample data support the hypothesis that the mean age at
which the infants walked alone is different in the two populations? Test

at 5% level.

b.) Consider a population with N=6 units, the values being 30, 22, 20, 15,

24 and 20. Select all possible samples of size 2 without replacement

and verify whether the sample range is an unbiased estimator for the

population range.                                                                        (12+8)

 

  1. ) A sample of college students participated in a study designed to

evaluate the level of college students’ knowledge of a certain group of

common diseases. The following table shows the students classified by

their major field of study and level of knowledge of the group of

diseases.

Knowledge of Diseases

Major               Good               Average           Poor

Premedical      85                    58                    30

Other               19                    29                    48

Do these data suggest that there is a relationship between knowledge of
the group of diseases and major field of study? Test at 5 % level.

b.) Draw a histogram and a frequency polygon for the following frequency
distribution.

Class Interval: 10-19   20-29   30-39   40-49   50-59   60-69

frequency:     4         66        47         36        12        4      (12+8)

 

  1. A remotivation team in a psychiatric hospital conducted an experiment to
    compare five methods for remotivating patients. Patients were grouped
    according to the level of initial motivation. The team assigned each patient
    a composite score as a measure of his or her level of initial motivation. The
    results were as follows:

Remotivation method

Level of initial motivation      A         B         C         D         E

Nil                   58        68        60        68        64

Very low         62        70        65        80        69

Low                 67        78        68        81        70

Average           70        81        70        89        74

Do these data provide sufficient evidence to indicate a (i) difference in

mean scores among methods and (ii) mean scores among level of initial

motivation? Test at 5 % level.

 

 

 

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Loyola College B.Sc. Plant Biology and Biotechnology Nov 2016 Agricultural Entomology Question Paper PDF Download

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Loyola College B.Sc. Plant Biology & Adv Zoology April 2009 Biostatistics Question Paper PDF Download

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           LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – ADV.ZOOL. & PL.BIO.&BIOTECH.

 AC 09

 

THIRD SEMESTER – APRIL 2007

ST 3201 – BIOSTATISTICS

 

 

 

Date & Time: 04/05/2007 / 9:00 – 12:00 Dept. No.                                              Max. : 100 Marks

 

 

SECTION A

Answer all questions.                                                                        (10×2=20)

 

  1. Mention the advantages of diagrammatic representation of data.
  2. Give any two limitations of geometric mean.
  3. What is meant by Skewness? Mention any one method of identifying the same.
  4. Find the 70th percentile of the following series :

49,52,12,87,62,35,21,19.

  1. Define: Independent events.
  2. Let A, B and C be three mutually exclusive and exhaustive events and exhaustive with

P( A ) = P( B ) / 2 , P( B ) = 3 P( C ) . Find P (A), P( B ) and P( C ).

  1. Comment on the following statement: “For a binomial distribution, the mean and variance are found to be 5 and 10 respectively “
  2. Define: ‘Parameter’.
  3. Mention any two uses of t-distribution.
  4. What is the need for non-parametric tests?

 

SECTION B

Answer any five questions.                                                         (5×8=40)

 

  1. Calculate mean, median and mode for the following data:

Hourly wages(Rs):     66-68   68-70   70-72   72-74   74-76   76-78

No. of persons:          15       24        40        20        14        11

  1. Write short notes on: i.) Standard deviation ii.) Quartile deviation.
  2. a.) A group consists of 100 men and 80 women out of which 40 men and 50 women are graduates.

If one person is selected at random from the group, find the probability that the person is either

a woman or a graduate.

b.) A bag contains 5 white and 3 black balls. Two balls are drawn at random. Find the probability

that

  1. i) One is white and the other is black
  2. ii) Both are black
  1. The probability that a student having a recommended book for study is 0.8. Three students are selected at random from a large group of students.
  • Find the probability distribution of the number of students having the book
  • Calculate the mean and variance of the distribution.
  1. Let X be a normally distributed random variable with mean 14 and variance 20. Find   a ) P(X>18)
  1. b) P(12<X<16)
  2. c) P(X< 20)
  1. Write short notes on:
  1. Type I and Type II errors.
  2. Steps involved in testing of a hypothesis

 

 

 

 

  1. The wages of 10 workers selected at random from a factory are given below:

Wages ( In Rs ) : 578  572  570  568  572  578  570  572  596  584

Is it possible that the mean wage of all workers of this factory is Rs.580? Test at 5% level.

  1. Explain Wilcoxon test to test the equality of median of two populations.

 

SECTION C

Answer any two questions.                                                   (2×20=40)

 

  1. a.) Find the geometric mean for the data given below:

Marks:      4-8   8-12  12-16 16-20  20-24  24-28.

Frequency:         6     10       18       30       15        12

b.) Use Box – Plot to examine the Skewness of the following frequency distribution:

No. of children per family:     0          1          2          3          4          5         6                                                     No. of families:           7          10        16        25        18        11       8

c.)  What are percentiles? How are they interpreted?                     (8+8+4)

  1. a.)  i.)Give axiomatic and relative frequency definition of probability.

ii.)State the addition rule of Probability.

iii.) Define conditional Probability

b.) The screws produced by a certain machine were checked by examining

samples each  of size  12. The following table shows the distribution of 128 samples according to the number of defective items they contain.

No.of Defectives 0 1 2 3 4 5 6 7
No.of Samples 7 6 19 35 30 23 7 1

Fit a binomial distribution and find the expected frequencies

  1. Given P(X=1) = P( X=2) , where X~ Poisson ( λ ), find P ( X=3 )                       (8+8+4)

.

  1. a.) In one section of a large city, 200 out of 250 residents have Myopia. In another section, , 120

out of 200 residents have the same. Using 5% level of significance, could it be concluded that

there is no difference between these two sections of the city in terms of Myopia.

b.) The following data present the yields in quintals of wheat taken randomly from two

agricultural plots of equal area.

Plot 1:  6.2       5.7       6.5       6.0       6.3       5.8       5.7       6.0       6.0                               5.8

Plot 2:  5.6       5.9       5.6       5.7       5.8       5.7       6.0       5.5       5.7                               5.5

Test the equality of variance of yields from these agricultural plots at 5% level.                  (8+12)

 

 

 

  1. a.) Let X and Y denote the  times in hours per week that students in two

different schools watch television. Let F(x) and G(y) denote the   respective distribution functions. Use runs test to test the hypothesis

H0: F(x) = G(y) Vs H1: F(x) < G(y) at 5% level, using the following random sample of 10 observations from each school.

X:        16.75   19.25   22.00   20.50   22.50   15.50   17.25   20.75   18.60   21.30

Y:        24.75   21.50   19.75   17.50   22.75   23.50   13.00   19.00   16.45   15.50

b.) Consider a population with N=6 units, the values being 20,30,22,20,11,14. Select all

possible samples of size 2 and verify whether the sample range is an unbiased estimator for

the population range.                                                                                         (12+8).

 

 

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Loyola College B.Sc. Plant Biology & Adv Zoology Nov 2012 Biostatistics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

B.Sc. DEGREE EXAMINATION – PLANT BIOLOGY & ADV. ZOOLOGY

THIRD SEMESTER – NOVEMBER 2012

ST 3204/ST 3203 – BIOSTATISTICS

 

 

Date : 09/11/2012             Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

 

SECTION – A

Answer ALL questions:                                                                                                          (10 x 2 = 20)

 

  1. Write down the uses of Bio-Statistics.
  2. State any two properties of Normal Distribution.
  3. Calculate coefficient for Range: 37, 57, 27,72,79,87,97,76,67,47
  4. What is the probability that the leap year selected at random will have 53 Sundays?
  5. Briefly explain Regression analysis.
  6. Give the test statistic for a chi-square test.
  7. Define type-I error.
  8. State the difference between parametric and non-parametric test
  9. Write the test statistic for a Z-test for a single proportion.
  10. Define mean sum of squares.

SECTION – B

Answer any FIVE of the following:                                                                                          (5 X 8 = 40)

 

  1. Police records shows the following numbers daily crime reports for a sample of days during the  winter months and a sample of days during the summer months.
Winter 18 20 15 22 21 20 24
Summer 22 10 20 35 9 23 21

 

 

By using co-efficient of variation, which season has consistent crime rate?

 

  1. Calculate Correlation between Plant biology and zoology marks from the given 8 students marks .

 

Marks in  Plant biology 65 66 67 67 68 69 70 72
 Marks in zoology 67 68 65 68 72 72 69 71

 

 

 

 

 

 

  1. Seven eggs weight is given below:

65, 29, 48, 68, 49, 42, 32

Calculate Mean, Median, Mode, Quartile deviation and coefficient of Q.D.

 

  1. An automatic machine was designed to pack exactly 2 kg of vanaspati. A sample of 100 tins was examined to test the machine. The average weight was found to be 1.94 kg with standard deviation 0.10 kg. Is the machine working properly? Test at 1% level of significance.

 

  1. State and Prove Addition theorem of Probability.

 

 

 

 

  1. Below are given the gain in weight in kgs of cows fed on two diets X and Y:
Diet X 25 32 30 32 24 14 32
Diet Y 24 34 22 30 42 31 40 30 32 35

 

 

 

 

 

Test at 5 % level whether the two diets differ as regards their effect on mean increase in weight by using t-test for difference means.

  1. The following data,(in tons) are the amount of sulfur oxides emitted by a large industrial plant in     40 days:
24 15 20 29 19 18 22 25 27 9
17 20 17 6 24 14 15 23 24 26
19 23 28 19 16 22 24 17 20 13
19 10 23 18 31 13 20 17 24 14

 

 

 

 

 

 

 

 

 

Use the sign test to test the null hypothesis  at the 0.05 level of significance.

 

  1. From the table given below, test whether the colour of son’s eyes is associated with that of  father’s eyes by using chi-squares test at 5% level.
Eyes Colour in Sons
 

Eyes Colour in

Fathers

 Not light Light
Not light 230 148
Light 151 471

 

 

 

 

 

 

 

 

SECTION – C

Answer any TWO of the following:                                                                                        (2 X 20 = 40)

 

  1. A former applied three types of fertilizers on 4 separate plots. The figure on yield per acre are tabulated below:
 

Fertilizers

Plots
A B C D
Nitrogen 6 4 8 6
Potash 7 6 6 9
Phosphates 8 5 10 9

 

 

 

 

 

 

 

Test (i) whether the mean yield is the same for the four plots and

(ii) whether the mean yield is the same for three fertilizers at 0.05 level.

 

  1. (i) Suppose we want to test the effect of a drug on blood pressure. Ten subjects are chosen and the      blood pressure is measured for each subject before and after the administration of the drug.     The result is shown below:
B.P before 118 113 128 124 136 130 140 130 140 128
B.P After 127 121 136 131 138 132 141 131 132 120

 

Does the drug have significant effect on blood pressure?                                  (12)

(ii) Explain the different types of diagram.                                                                       (8)

 

  1. (i) Box-I contains 8 Red, 5 Blue, 4 Green balls

Box-II contains 9 Red, 4 Blue, 3 Green balls

Box-III contains 6 Red, 7 Blue, 8 Green balls

Three balls drawn at random from one of the Box and they are found to be 2 green and a blue.          Find

the probability that it was from Box-I, Box-II and Box-III.                        (12)

(ii) It is know that probability of recovery for certain disease is 0.4. If 5 animals are stricken with              the disease (Assume this to be random sample), what is probability that

  • 3 or more will recover? (b) Exactly one will recover?

I Exactly two will recover? (d) None will recover.                                              (8)

  1. (i) In a study of the effect of a dietary component on plasma lipid composition, the

following ratios were obtained on a sample of experimental animals.

 

Dietary

component

 1 5 3 2 2 1 7 3
Plasma

lipid level

 6 1 2 3 1 2 1 5

 

Obtain the Regression equation for these data and predict the ratio of plasma lipid

level with 6 dietary component.                                                             (12)

(ii) Two diets are compared by conducting an experiment on two sets of 50 and 60

experimental animals. The average increase in weight due to the diet A and B are

respectively 9 kg and 5 kg with standard deviation of 2 kg and 3 kg. Check the

claim that diet B is superior over diet A at 5% level of significance.         (8)

 

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Loyola College B.Sc. Adv. Zoology & Bio-Technology April 2008 Biostatistics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

           B.Sc. DEGREE EXAMINATION – ADV.ZOO.&BIOTE.&PLA.BIO.&BIOTEC.

NO 10

 

THIRD SEMESTER – APRIL 2008

ST 3203 / 3201 – BIOSTATISTICS

 

 

 

Date : 05/05/2008                Dept. No.                                        Max. : 100 Marks

Time : 1:00 – 4:00

 

SECTION – A

Answer all questions                                                                      10 x 2 = 20

 

  1. A sample of 15 patients making initial visits for a health department travelled the following distances in miles/second. 5,9,11, 3 , 12 , 13 , 12 , 6 , 13, 7 , 3 , 15 , 12 , 15 , 5. Find the median distance travelled.
  2. Mention any two advantages of Standard deviation as a measure of Dispersion.
  3. An unbiased coin is tossed 3 times. What is the probability of getting 2 heads?
  4. What is meant by ‘ Standardised random Variable ‘? Mention its properties.
  5. Define Simple random sampling.
  6. Give the 100(1-a)% Confidence Interval for the difference between two population proportions.
  7. What is meant by ‘Ordinal ‘ data? Give an example.
  8. Define Analysis of variance.
  9. Consider the following probability distribution

X:                    -1         3          5          7

P(X=x):           0.2       0.1       0.4       0.3

Find the variance of X

  1. Mention any two advantages of t-distribution.

 

SECTION – B

Answer any FIVE questions                                                                          5 x 8 = 40

 

  1. As part of research project, investigators obtained the following data on serum lipid peroxide (SLP) levels from laboratory reports of a sample of 10 adult subjects undergoing treatment for diabetes mellitus: 5.85 , 6.17 , 6.09 , 7.70 , 3.17, 3.83 , 5.17 , 4.31 , 3.09 , 5.24 . Compute the mean, median, variance and standard deviation.
  2.  a) Mention any four properties of normal distribution.
  1. b) The weights of a certain population of young adult females are approximately normally distributed with a mean of 132 pounds and a standard deviation of 15. Find the probability that a subject selected at random from this population will weigh: (i) More than 155 pounds

(ii) Between 105 and 145 pounds.

  1.  a) What are sampling distributions? Mention its uses.
  1. b) Explain the steps for constructing sampling distribution
  1. A simple random sample of 16 apparently normal subjects yielded the following values of urine excreted arsenic ( milligrams per day )

Subject      1          2          3          4          5          6          7          8          9          10

Value         7          30        25        8          30        38        7          5          12        6

 

Subject      11        12        13        14        15        16

Value         10        32        6          9          14        11

Construct a 95% confidence interval for the population mean.

  1. Explain the various steps involved in testing statistical hypothesis.

 

  1. Complete the following ANOVA table and interpret the results.

Source             d.f.                  SS                    MSS                F-ratio

Treatments      3                      ?                      ?                      ?

Blocks             3                      183.5               ?                      ?

Error                ?                      26.0                 ?                      ?

Total                15                    709.0

  1. Explain the concepts of correlation and regression with an example each.

 

 

 

  1. The face sheet of patients’ records maintained in a local health department contains 10 entries. A sample of 100 records revealed the following distribution of erroneous entries.

Number of erroneous                          Number of records

Entries out of 10

  • 8
  • 25
  • 32
  • 24
  • 10

5                                                          1

Test at 5% level the goodness-of-fit of these data to binomial distribution.

 

SECTION- C

Answer any TWO questions                                                              2 x 20 =40

 

  1.  a) The following are the number of babies born during a year in 40 community hospitals.

30        55        27        45        56        48        45        49

37        55        52        34        54        42        32        59

32        26        40        28        53        54        29        42

39        56        59        58        49        53        30        53

52        57        43        46        54        31        22        31

(i) Using  Sturge’s rule, group the data into various class intervals and obtain the frequency distribution.

(ii) Compute the mean, median and mode of the number of babies born.

  1. b) Define sample space, mutually exclusive events and independent events.

(14+6 )

  1. a) An experiment was conducted to study the effect of a certain drug in lowering heart rate in adults. The independent variable is dosage in milligrams of the drug, and the dependent variable is the difference between lowest rate following administration of the drug and a predrug control. The following data were collected.

Dose(mg)                    Reduction in heart rate (beats/min)

X                                                       Y

  • 10
  • 8
  • 12
    • 12
    • 14
    • 12
  • 16
    • 18

Obtain the regression equation of Y on X.

  1. b) Five hundred employees of a firm that manufactures a product suspected of being associated with respiratory disorders were cross-classified by level of exposure to the product and whether or not they exhibited symptoms of respiratory disorders. The results are shown in the following table:

 

Level of Exposure

Symptoms present       High                Limited           No known exposure

Yes                  185                  33                                17                                No                   120                  73                                72

Do these data provide sufficient evidence at 1% level, to indicate a relationship between level of exposure and the presence of respiratory disorder symptoms?                          (10 + 10)

  1. a) Three groups of animals were used in an experiment to compare response time, in seconds, to three different stimuli. The following results were obtained.

Stimulus

I                       II                     III

16                    6                      8

14                    7                      10

14                    7                      9

13                    8                      10

13                    4                      6

12                    8                      7

12                    9                      10

17                    6                      9

 

Do these data provide sufficient evidence to indicate a difference among population means ?        Let a = 0.05.

  1. b) Ten experimental animals were subjected to conditions stimulating disease. The number of heartbeats per minute, before and after the experiment were recorded as follows:

Animal              1        2          3          4          5          6          7          8          9          10

Before   70      84        88        110      105      100      110      67        79        86

After     115    148      176      191      158      178      179      140      161      157

Do these data provide sufficient evidence to indicate that the experimental condition increases the number of heartbeats per minute? Let a = 0.05.                                                              (10 + 10)

 

  1. a) A researcher designed an experiment to assess the effects of prolonged inhalation of cadmium oxide. Fifteen laboratory animals served as experimental subjects, while ten similar animals served as controls. The variable of interest was hemoglobin level following the experiment. The results obtained are as shown below:

 

Exposed animals                     Unexposed animals

  • 4
  • 2
  • 1
  • 5
  • 0
  • 0
  • 9
  • 0
  • 3
  • 8

15.7

16.7

13.7

15.3

14.0

Use Mann-Whitney test to test whether the median hemoglobin level of the population of animals exposed to cadmium oxide is the same as that of animals not exposed to it. Use 5% level.

  1. b) Explain the concept of Interval Estimation. (15 + 5)

 

 

 

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Loyola College B.Sc. Adv. Zoology & Bio-Technology Nov 2008 Biostatistics Question Paper PDF Download

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LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

BA 06

 

   B.Sc. DEGREE EXAMINATION – ADV.ZOO. & BIO. TECH.

THIRD SEMESTER – November 2008

ST 3203 /ST 3201 – BIOSTATISTICS

 

 

 

Date : 13-11-08                     Dept. No.                                        Max. : 100 Marks

Time : 9:00 – 12:00

SECTION A

Answer all questions.                                                                        (10×2=20)

  1. What is a frequency polygon?
  2. Give the various measures of dispersion.
  3. Define mutually exclusive events.
  4. The probability distribution of a random variable ‘X’ is given below.

X:        0.5       1.2       2.4

P[X=x]:       1/3       1/5       7/15.  Find E(X).

  1. Find the mean of the Poisson distribution for which P(X=1) = 2P(X=2).
  2. Define sampling distribution.
  3. From a random sample of 12 observations the mean and variance are found to be 27 and 3.2 respectively. Find the value of the test statistic for testing the hypothesis that the population mean is 30.
  4. What is a contingency table?
  5. Show that for a standardized random variable, the mean and variance are zero and one respectively.
  6. Give an example for one way analysis of variance.

 

SECTION B

Answer any five questions.                                                         (5×8=40)

 

  1. Calculate the quartile deviation based on the following data:

Blood pressure:70-74  75-79  80-84  85-89   90-94   95-99

                          No. of patients:   8         19        29        36        25        13              

  1. The following are the weights (in kg’s) of 10 subjects who participated in a health camp.

83.9, 99.0, 63.8, 71.3, 65.3, 79.6, 70.3, 69.2, 56.4 and 66.2.

Examine the skewness of the above data by constructing a box plot.

  1. The probability of A, B and C hitting a target is 0.25, 0.5 and 0.25 respectively. If all of them try independently, what is the probability that a.) the target will be hit ) any two of them will hit the target

c.) none of them will hit the target.

  1. It is known that 35 percent of the members of a certain population suffer from one or more chronic diseases. What is the probability that in a sample of 200 subjects randomly drawn from this population, 1.) 80 or more will have atleast one chronic disease? ) between 30 and 60 will have atleast one chronic disease?
  2. Obtain the sampling distribution of mean by taking all possible samples of size two without replacement based on the following population values.

13.5, 15.0, 17.7, 10.3, 14.1, 15.0

  1. Explain the procedure for testing the equality of two population proportions.
  2. Suppose a study to examine the relative efficacy of pencillin and spectinomycin in the treatment of gonorrhea is conducted. Three treatments are looked at (1) pencillin, (2) spectinomycin, low dose and       (3) spectinomycin, high dose. Three responses are recorded: (1) positive smear, (2) negative smear, positive culture and (3) negative smear, negative culture. The data obtained is given below:

     

                                                                         Response

Treatment            + smear      – smear, + culture      – smear, – culture

                     Pencillin                  40                     30                              130

                     Sceptinomycin        10                     20                               70

                     (low dose)

                     Sceptinomycin        15                     40                               45

                     (high dose)

             Test whether there is any relationship between the type of treatment and

the response. Use 5% level.

 

  1. Fit a Poisson distribution to the following data.

Mistakes:   0     1     2     3      4      5.

No. of pages:  52    40  31   19     5      2

 

                                                           SECTION C

      Answer any two questions.                                                         (2×20=40)

  

  1. ) The following scores represent a nurses’ assessment (X) and a physicians’ assessment (Y) of the

condition of 10 patients at a time of admission to a trauma care center.

X: 18   13   18   15   10   12   8     4   7   3

Y: 23   20   18   16   14   11  10    7   6   4

Calculate the Karl Pearson’s coefficient of correlation between X and
Y. Interpret your answer.

b.) Assume that a factory has two machines. Past records show that
machine 1 produces 45 % of the items of the output and machine 2

produces 55 %. Further 3 % of the items produced by machine 1 were
defective and only 1% produced by machine 2 were defective. If a
defective item is drawn at random, what is the probability that it was
produced by a.) machine 1  b.) machine 2?                               (12+8)

  1. a.) It is known that 30 percent of a certain population is immune to some
    disease. If a random sample of size 10 is selected from this
    population, what is the probability that it will contain a.) exactly four
    immune persons  b.) less than two immune persons and   c.) more
    than eight immune persons.

b.)  Transverse diameter measurements (in cm’s) on the hearts of adult

males and females gave the following results:

Group          Sample size         Sample mean    Sample SD

Males                 12                        13.21                1.05

Females                  9                         11.00                 1.01

Assuming normally distributed populations with equal variances,
construct the 95 and 99 percent confidence intervals for the
difference between the population means.

c.)  Mention any four properties of normal distribution.                            (8+8+4)

 

  1. a.) The following PaO2 measurements were obtained before and after
    the inhalation of methacholine (MTH) in 10 patients with asthma.

Patient:    1        2       3       4         5         6        7         8        9     10

Before: 88.2  100.9  96.0   99.1   86.9   103.7   76.0   81.8   72.1  93.7

After: 70.6    70.0  71.0   64.1   79.5    79.5    72.2   70.6   66.9  67.0

Do these data provide sufficient evidence to indicate that MTH cause

a decrease in PaO2. Let α = 0.05.

b.) Explain the median test for testing the equality of median of two
independent populations.                                                          (10+10)

  1. The following table gives the time (in days) required by a set of patients
    classified by age group to learn the use of a certain prosthetic device by
    three different teaching methods.

Teaching Method

Age group       A         B         C

Under 20         7          9          10

20 – 29            8          9          10

30 – 39            9          9          12

40 – 49            10        9          12

50 and above   11        12        14

Perform a two way analysis of variance by clearly stating the hypothesis.

 

 

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