SRM University 2007 B.Tech Bioinformatics BANK MA 262 BIO STATISTICS - Question Paper

4. 2 independent samples of sizes eight & seven gave the subsequent values:
Sample one : 19 17 15 21 16 18 16 14
Sample two : 15 14 15 19 15 18 16
Is the difference ranging from the sample means significant.
5. 2 random samples gave the subsequent data
Sample No. size mean variance
1. eight 9.6 1.2
2. 11 16.5 2.5
Can we conclude that the two samples have been drawn from the identical normal
population?
6. 2 samples of sizes nine & eight gave the sum of squares of deviations from their respective means equal to 160 & 91 respectively.Could both samples be from populations with the identical variance ?
7. ?ii? The subsequent data represents marks of 12 students in two tests , 1 held before and other after coaching.
Test 1 55 60 65 75 49 25 18 30 35 54 61 72
Test 2 63 70 70 81 54 29 21 38 32 50 70 80
Does the data indicate whether coaching was effective ?
8. 2 various kinds of drugs A & B were tried on certain patients for increasing weight. 5 persons were provided drug A and seven persons were provided drug B .The increase in weight
( in Kg.) is provided below:
Drug A : 3.6 5.5 5.9 4.1 1.4
Drug B : 4.5 3.6 5.5 6.8 2.7 3.6 5.0
Do the drugs differ significantly with regard to their effect in increasing weight?
9. 2 independent groups of 10 children were tested to obtain how many digits they could repeat from memory after hearing them.The outcome are as follows:
Group A : eight six five seven six eight seven four five 6
Group B : 10 six seven eight six nine seven six seven 7
Is the difference ranging from mean scores of the 2 groups significant?



10. A sample of heights of 6,400 Englishmen has a mean of 67.85 inches and S.D of 2.56 inches while a sample of heights of 1,600 Australians has a mean of 68.55 inches with S.D of 2.52 inches. Do the data indicate that the Australians are on the avg. taller than Englishmen?
11. Data on the hair colour and eye colour are provided in the subsequent table. Determine whether there is any association ranging from the hair colour and eye colour.

Hair colour
Eye colour Fair Brown Black
Blue 15 20 5
Grey 20 20 10
Brown 25 20 15
12. Theory predicts that the proportion of beans in four groups A, B, C and D are in the ratio 9:3:3:1. In an experiment among 1600 beans, the numbers in the 4 groups were 882, 313, 287 and 118. Does experiment support theory?
13. A die is thrown 270 times and the outcomes of these throws are provided below?
Number appeared
on the die 1 2 3 4 5 6
Frequency 40 32 29 59 57 59

Can the die be considered as unbiased?
14. Out of 1600 candidates who appeared in a competitive examination, 422 were successful. Out of these, 256 had attended the coaching class and 150 of them came out successful. Examine whether coaching was effective as regards the success in the exam.
15. In an epidemic of certain disease, 92 children contracted the disease. Of these, 41 received no treatment and of these 10 showed after-effects. Of the remainder who did receive treatment, 17 showed after-effects. Test the hypothesis that the treatment was not effective.
16. A certain drug is claimed to be effective in curing cold. In an experiment with 500 persons having cold, half of them were provided the drug and half of them were provided sugar pills with the subsequent reactions:
Helped Harmed No Effect
Drug 150 30 70
Sugar pills 130 40 80
On the basis of this data, can it be concluded that the drug and sugar pills differ significantly in curing cold?

Earning:   Approval pending.