LOYOLA COLLEGE (AUTONOMOUS), CHENNAI – 600 034
M.Sc. DEGREE EXAMINATION – ZOOLOGY,MED.LAB.TECH.& BIO MED.INSTR.
|
THIRD SEMESTER – April 2009
ST 3901 – STATISTICAL APPLICATIONS IN BIOLOGICAL SCIENCES
Date & Time: 29/04/2009 / 9:00 – 12:00 Dept. No. Max. : 100 Marks
SECTION – A ( 10 x 2 = 20 Marks )
Answer ALL the Questions. Each Carries TWO marks.
- Define a Statistic and a Parameter. Give an example for each.
- Write any three properties of median.
- Calculate Kelly’s Coefficient of Skewness from the following positional measures:
P10 = 25, P50 = 150, P90 = 205.
- The first four central moments of a distribution are 0, 2.3, 0.9 and 15.65. Test the Skewness and Kurtosis of the distribution.
- Explain the term Regression Analysis with an example.
- What is meant by Statistical Inference?
- Describe Sampling Distribution with an example.
- Explain the meaning of 95 % Confidence Interval.
- Discuss the two types of errors involved in a test procedure.
- Write any three types of testing problems in which the Chi – Square Test is useful.
SECTION – B (5 x 8 = 40 Marks)
Answer any FIVE Questions. Each Carries EIGHT marks.
- Compute the mean, standard deviation and coefficient of variation for the following data of length (cm ) of Tilapias :
Length : 5 – 7 7 – 9 9 – 11 11 – 13 13 – 15 15 – 17
No. of Fish : 7 9 12 11 8 3
- Describe the following types of correlation:
( a ) Positive and Negative Correlations
( b ) Linear and Non-Linear Correlations
( c ) Simple, Partial, and Multiple Correlations.
- Assume that we conduct an experiment with eight fields planted with corn, having different amount of nitrogen fertilizer. The resulting corn yields are shown in the table as bags per acre:
Field Nitrogen ( kg ) Corn yield (Bags / acre )
1 52 62
2 63 53
3 45 51
4 36 25
5 72 79 6 65 43
7 47 60
8 25 33
Let nitrogen be denoted by X and corn yield by Y. Fit a regression equation of Y on X.
- In a health survey of school children it is found that the mean haemoglobin level of 55 boys is 10.2g / 100 ml with a standard deviation of 2.1. Can we consider this group as taken from a population with a mean of 11.0g / 100 ml?
- In a hearing survey among 246 town school children, 36 were found with hearing loss and among 349 village school children, 61 were found with hearing loss. Does this present any evidence that hearing loss is as common among town children as among village children?
- Twelve pre-school children were given a supplement of multipurpose food for a period of four months. Their skin fold thickness ( in mm ) was measured before the commencement of the programme and also at the end. The values obtained are given below. Test if there is any significant change in their skin fold thickness at 5% level of significance.
Serial Skin fold thickness ( mm )
(Child) No. At the beginning At the end
1 6 8
2 8 8
3 8 10
4 6 7
5 5 6
6 9 10
7 6 9
8 7 8
9 6 5
10 6 7
11 4 4
12 8 6
- Fasting blood glucose level and Systolic blood pressure in 10 diabetics are given below. Calculate rank correlation coefficient.
Serial No. Fasting blood Systolic BP
of patient glucose level ( mg / dl ) level ( mmHg )
1 90 136
2 92 140
3 98 142
4 112 130
5 120 148
6 121 135
7 126 150
8 132 170
9 143 145
10 145 165
- State the five assumptions to be checked before carrying out any analysis of variance
SECTION – C ( 2 x 20 = 40 Marks )
Answer any TWO Questions. Each Carries TWENTY marks.
- The following are scores made on an intelligence test by a group of children who
participated in an experiment:
| 114 | 115 | 113 | 112 | 113 | 132 | 130 | 128 | 122 | 121 |
| 126 | 117 | 115 | 88 | 113 | 90 | 89 | 106 | 104 | 126 |
| 127 | 115 | 116 | 109 | 108 | 122 | 123 | 149 | 140 | 121 |
| 137 | 120 | 138 | 111 | 100 | 116 | 101 | 111 | 110 | 137 |
| 119 | 115 | 83 | 109 | 117 | 118 | 110 | 108 | 134 | 118 |
| 114 | 142 | 120 | 119 | 143 | 133 | 85 | 117 | 147 | 102 |
From these data construct :
( a ) A frequency distribution.
( b ) A relative frequency distribution.
( c ) A histogram.
( d ) A frequency polygon.
- Find the multiple linear regression equation of X1 on X2 and X3 from the data relating to three variables given below:
X1 : 4 6 7 9 13 15
X2 : 15 12 8 6 4 3
X3 : 30 24 20 14 10 4
- The following table gives the frequency, according to groups of marks obtained by 67 students in an intelligence test. Measure the degree of relationship
between age and test marks:
Age in years
Test Marks 18 19 20 21
200 – 250 4 4 2 1
250 – 300 3 5 4 2
300 – 350 2 6 8 5
350 – 400 1 4 6 10
- In a study of the effect of glucose on insulin release, specimens of pancreatic tissue from experimental animals were randomly assigned to be treated with one of five different stimulants. Later, a determination was made on the amount of insulin released. Test whether there is a significant difference among the five treatments with respect to the mean amount of insulin released.
I n s u l i n R e l e a s e d
STIMULANT
1 2 3 4 5
1.53 3.15 3.89 8.18 5.86
1.61 3.96 3.68 5.64 5.46
3.75 3.59 5.70 7.36 5.69
2.89 1.89 5.62 5.33 6.49
3.26 1.45 5.79 8.82 7.81
1.56 5.33 5.26 9.03
7.10 7.49
8.98
Latest Govt Job & Exam Updates: