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                     LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034

M.Sc. DEGREE EXAMINATION – BIOMED.INSTR.&MED.LABO.TECHNO.

AB 29

THIRD SEMESTER – NOV 2006

           ST 3901 – STATISTICAL APPLICATIONS IN BIOLOGICAL SCIENCES

 

 

Date & Time : 03-11-2006/9.00-12.00      Dept. No.                                                    Max. : 100 Marks

 

 

Part A

Answer all the questions.                                                                            10 X 2 = 20

 

1. Define statistics.
2.  What are the advantages of diagrammatic presentation of data?
3. State the various measures of central tendency.
4. Define dispersion.
5. What do you understand by skewness and kurtosis?
6. Explain the meaning and significance of the concept of correlation.
7. Define statistic and parameter.
8. What is type II error?
9. Write any two uses of chi-square test.
10. What is analysis of variance?

PART -B

Answer any five questions.                                                                           5 X 8 = 40

 

1. Briefly explain the  scope, limitation and misuse of statistics.
2. The following data relate to the monthly expenditure ( in rupees) of the families A and B:

Items of expenditure                           Family A         Family B

Food                                                    1600                1200

Clothing                                              800                  600

Rent                                                    600                  500

Light and Fuel                                                200                 100

Miscellaneous                                      800                  600

Represent the above data by a suitable percentage diagram.

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

Age                 :           10-20   20-30   30-40   40-50   50-60   60-70

No. of death by HIV:    2          6          10        7           4          1

14.  Calculate Spearman’s coefficient of correlation between height and weight are given below:

Age     :           2          5          8          10        12        18        20        25

Weight:           4          8          15        28        32        45        50        60

 

1. In a random sample of 1000 persons from city Trichy, 400 are found to be consumers of Hans. In a sample of 800 from city Tanjore , 400 are found to be consumers of tobacco. Do these data reveal a significant difference between city Trichy and Tanjore, so far as the proportion of tobacco is concerned?

 

 

1. The following table shows the ages (X) and blood pressure (Y) of 8 persons.

X:        52        63        45        36        72        65        47        25

Y:        62        53        51        25        79        43        60        33

Obtain the regression equation of Y on X and find the expected blood pressure fo a person who is 49 years old.

1. 500 apples are taken at random from a large basket and 50 are found to be bad. Estimate the proportion of bad apples in the basket and assign limits within which the percentage most probably lies.
2. From the following table find is there any significance difference between treatments or not.

Treatment	Treatment1	Treatment2	Treatment3	Treatment4
Kumar Senthil Saravanan	80 70 68	100 88 99	110 96 79	70 85 94

PART C

Answer any two questions.                                                                         2 X 20 = 40

 

1. Explain different types of diagrams in statistics with an illustration.
2. For a random sample of 10 persons, fed on diet A, the increased weight in pounds in a certain period were:

10        6          16        17        13        12        8          14        15        9

For another random sample of 12 persons, fed on diet B, the increase in same period were:

7          13        22        15        12        14        18        8          21        23        10    17

Test whether the diets A and B differ significantly as regards their effect on increase in weight.

Given the following data:

Degrees of freedom    :          19       20       21       22       23

Values of t at 5 % level:          2.09     2.09     2.08     2.07     2.07

 

1. a). A certain drug is claimed to be effective in curing cold. In an experiment on 1000 persons with cold, out of which 250 were given the drug and 250 were given sugar pills. The patients reactions to the treatment are recorded in the following table:

 

Medicine         helped             harmed                        no effect          total

Drug                150                  30                    70                    250

Sugar pills       130                  40                    80                    250

On the basis of the data can it be concluded that there is a significant difference in

the effect of the drug  and sugar pills?

b). The average life span  of people in  Trichy district is 65 years with the

standard deviation of 4 years. Randomly 10 people were observed and their life

span were recorded:

45        60        75        72        68        63        65        68        70        71

Verify that is there any significance at 5 % level of signifance.

 

1. Four students were selected randomly from II M.Sc medical lab technology and they were given by different types of medicine for curing viral fever. The following hours have been taken by the medicine to cure the diseases.

Student           medicine1       medicine2       medicine3       medicine4

      Senthil            0.30                 0.35                 0.40                 0.45

Ishwariya       0.50                 0.55                 0.46                 0.48

Kannan          0.10                 0.20                 0.25                 0.29

Sona                0.50                 0.40                 0.45                 0.30

Is there any significance difference between medicines and students for taking

hours to cure the disease?

 

 

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