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Punjab Technical University 2010-2nd Sem B.Sc BioInformatics (Bio - Informatics) (nd) BIO - STATISTICS - Question Paper

Tuesday, 09 April 2013 09:55Web



Total No. of Questions : 13]    [Total No. of Pages : 04

Roll No.......................

J-3033[S-33]    [2037] B.Sc. (Bio - Informatics) (Semester - 2nd) BIO - STATISTICS (B.Sc. BI - 201)

Time : 03 Hours    Maximum Marks : 75

Instruction to Candidates:

1)    Section - A is compulsory.

2)    Attempt any Nine questions from Section - B.

Section - A

Q1)    (15 x 2 = 30)

a)    Write short note on importance of statistics in Bio-informatics.

b)    It is intended to compare the variability of height of indivisuals with the weight of indivisuals. Which measure you will use and why.

c)    Describe the procedure to determine Mean Deviation.

d)    Define logarithm and hence find log of 32 to the base V2.

e)    State different properties of logarithm.

f)    Define probability and state its properties.

g)    Define mutually exclusive events and Independent events and clasify the concept with suitable examples.

h)    State the laws of probability and elaborate it with suitable examples.

i)    State the assumptions of analysis of variance.

j) State the conditions for the use of Chi-square test.

k) Give the advantages and disadvantages of factorial experiments.

l) Define main effect and interaction effect.

m) Give the relationships between correlation coefficient and regression coefficients.

n) Write short note on the method of least squares.

o) Define the terms

stimulus, subject, Dose and Response as used in Bio-assay.

5 7    1

Q2) Find the value of 2 log log + 2log3 + log49

(Base = 10)    34    2

Q3) Describe the procedure of analysis of variance of one-way classification.

Q4) A box contains 6 red, 4 white and 5 black balls. Four balls are drawn at random. Find the probability that amongst the balls drawn, there is at least one ball of each colour.

Q5) The percentage of marks obtained in a course and the percentage of

attendance of ten randomly selected students were

Student

1

2

3

4

5

6

7

8

9

10

% marks obtained

70

82

84

75

67

61

74

65

78

64

% attendance

85

93

96

90

75

72

88

70

91

65

Find the simple regression equation of % marks obtained on % attendance.

Q6) Describe any one method of bio-assay.

Q7) Given below are the observations on 5 strains of wheat at 4 locations.

Strain

Location

I

II

III

IV

A

24

15

20

21

B

20

12

18

18

C

30

20

25

27

D

22

14

20

19

E

27

21

24

26

Test, if all the strains are equivalent.

Q8) In a right angled triangle, the lengths of the sides containing the right angle are a and b. With mid-points of each side as the centre, three semi-circular areas are drawn outside the triangle. Find the total area, enclosed.

Q9) A rectangular reservoir is 54m x 10m x 10m. An empty pipe, of circular cross-section, is of radius 3cms; and the water runs through the pipe at 20m per second. Find the time, the empty pipe will tabe to empty the reservoir full of water.

Q10) The frequency distribution of expenditure, on the previous day, on a particular food item by the families in a locality was as follows :

Expenditure

(Rs.)

3

4

5

6

7

8

9

10

11

12

13

No. of families

2

9

11

14

20

25

24

23

20

16

6

Find its coefficient of variation.

Q11) Use Fishers exact test to test the effectiveness of inocculation Vs. Not-inocculation, on the basis of following summarised results of independent samples.

Inocculated

Not-inocculated

Died

1

6

Survived

7

2

Q12) A random sample of 150 farmers was categarised with respect to farm size and the extent of mechanisation as follows :

Farm size

Extent of Mechanisation

High

Medium

Low

Small

2

5

10

Medium

21

36

28

Large

24

16

8

Test, if the extent of mechanisation is related to farm size.

Q13) The observations on treatment combinations of 23 factorial experiment with factors A, B and C were as follows :

Block

treatment combinations with observations

Block I

a

bc

(1)

ab

b

ac

c

abc

16

21

10

20

15

23

14

30

Block II

ac

b

c

a

abc

(1)

bc

ab

28

16

15

19

34

12

22

24

Block III

c

ab

bc

(1)

b

ac

a

abc

16

28

22

14

18

30

20

40

Analyse the data and interpret your results.

J-3033[S-33]    -4-







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