B.Tech-B.Tech Bioinformatics Biostatistics(Manonmaniam Sundaranar University - Directorate of Distance and Continuing Education-2010)
Friday, 23 August 2013 06:06Duraimani
(Established under section 3 of UGC Act,1956)
Course & Branch :B.Tech - BIN
Title of the Paper :Biostatistics Max. Marks :80
Sub. Code :522303/622301 Time : 3 Hours
Date :20/04/2010 Session :AN
PART - A (10 x 2 = 20)
Answer ALL the Questions
1. For a binomial distribution, mean is 6 and standard deviation is , find the first two terms of the distribution.
2. Find the mean of Poisson distribution.
3. What is random sampling?
4. What is critical region?
5. What is the application of F Test?
6. What is one – way classification?
7. What are the basic principles in the design of experiment?
8. What is the advantage of completely randomized design?
9. Write the spearman’s rank correlation formula.
10. What are the disadvantages of nonparametric test?
PART – B (5 x 12= 60)
Answer all questions
11. Ten unbiased coins are tossed simultaneously. What will be the probability of happening:
(a) exactly 6 heads (b) at least 8 head
(c) no head (d) not more than 3 heads.
(or)
12. In a certain factory turning razor blades, there is small chance 0.002 for any blade to be defective. The blades are in packets of 10. Use Poisson’s distribution to calculate the approximate number of packets containing no defective, one defective and two defective blades respectively in a consignment of 10,000 packets.
13. (a) Sample of two types of electric light bulbs were tested for length of life and following data were obtained
Sample No Sample mean Sample SD
Type I 8 1234 36
Type II 7 1036 40
Is the difference in the means sufficient to warrant that type I is superior to type II regarding length of life?
(b) The mean weekly sales of soap bars in department stores were 146.3 bars per store. After an advertising campaign the mean weekly sales in 22 stores for a typical week increases to 153.7 and showed a standard deviation of 17.2 Was the advertising campaign successful?
(or)
14. (a) From a sample of 19 pairs of observation the correlation coefficient is 0.5 and the corresponding value of population is 0.3. Is the difference significant?
(b) Two independent samples have 19 and 12 pairs of observations with correlation coefficient 0.55 and 0.75 respectively. Are these values of r consistent with the hypothesis that both the sample are drawn from the same population?
15. (a) Out of 8000 graduates in a town 800 are females, out of
1600 graduate employees 120 are females. Use Chi square to determine if any distinction is made in appointment on the basis of sex.
(b) A group of 10 rat fed on diet A and another group of 8 rats fed on a different Diet B, recorded the following increase in weight.
| Diet A |
5 |
6 |
8 |
1 |
12 |
4 |
3 |
9 |
6 |
10 |
| Diet B |
2 |
3 |
6 |
8 |
1 |
10 |
2 |
8 |
|
|
(or)
16. The following data represent the number of units of production per day turned out by 5 different workers using four different types of machines.
Machine Type
A B C D
1. 44 38 47 36
2. 46 40 52 43
3. 34 36 44 32
4. 43 38 46 33
5. 38 42 49 39
Test
(a) Whether the mean productivity is the same for the different machine types.
(b) Whether the 5 men differ with respect to mean productivity.
17. The following figures relate to production in kgs of three variables A,B,C of wheat sown on 12 plots
A 14 16 18
B 14 13 15 22
C 18 16 19 19 20
Is there any significant difference in the production of the
varieties?
(or)
18. The yield of four strains of Grallipoli wheat planted in five
randomized blocks in kgs per plot is given below
| Strains |
|
1 |
2 |
3 |
4 |
5 |
| A B C D |
32 33 30 29 |
34 33 35 22 |
34 36 35 30 |
35 37 32 28 |
36 34 35 28 |
strains.
19. (a) Consider the table which shows the number of defective bolts produced by two different types of Machine I and II on 12 consecutive days and which assumes that the machines have the same total output per day. Using sign test, test the hypothesis that there is no difference between the machines.
| Day |
1 |
2 |
3 |
4 |
5 |
6 |
7 |
8 |
9 |
10 |
11 |
12 |
| Machines I |
47 |
56 |
54 |
49 |
36 |
48 |
51 |
38 |
61 |
49 |
56 |
52 |
| Machines II |
71 |
63 |
45 |
64 |
50 |
55 |
42 |
46 |
53 |
57 |
75 |
60 |
(or)
20. Write the procedure for median test applied for two independent groups. And hence test the performance of two groups.
| |
Group I |
Group II |
| No of scores above combined mean |
3 |
17 |
| No of scores below combined mean |
13 |
6 |
| Earning: ₹ 0.10/- |
