Gujarat Technological University 2010 B.Pharm , BPharma, 220001 - Applied Mathematics (Biostatistics) for - Question Paper

GUJARAT TECHNOLOGICAL UNIVERSITY
B. Pharmacy Sem
II exam June 2010

Subject code: 220001
Subject ame: Applied Mathematics (Biostatistics)
Date: 22/ 06 /2010 Time: 02/30 pm – 05.30 pm
Total Marks: 80

Seat No.    Enrolment No.

GUJARAT TECHNOLOGICAL UNIVERSITY

B. Pharmacy Sem-II Examination June 2010

Subject code: 220001 Subject Name: Applied Mathematics (Biostatistics)

Date: 22/ 06 /2010    Time: 02/30 pm - 05.30 pm

Total Marks: 80

Instructions:

1.    Attempt any five questions.

2.    Make suitable assumptions wherever necessary.

3.    Figures to the right indicate full marks.

Q:1 A Enlist various sampling techniques. What are the advantages of sampling? Discuss in 08 detail about stratified sampling.

B A random sample of 20 tablets from a batch gives a mean ingredient content 42 mg. and 04 standard deviation of 6 mg. Test the hypothesis that the population mean is 44 mg.

C Two samples of size 8 and 7 give the sum of squares of deviations from their respective 04 means equal to 34 and 24 respectively. Test the hypothesis that the populations have the same variance given that F0.05=4.3 for (7,6) d.f.

Q:2 A Explain the following concepts    06

[1] Confidence interval [2]Level of significance [3] Scatter diagram

B Two types of chemical solutions A and B were tested for their pH. Analysis of 6 samples 05 of A showed a mean pH of 7.52 with a standard deviation of 0.024 Analysis of 5 samples of B showed a mean pH of 7.49 with a standard deviation of 0.032 using a significance level. Determine whether the two types of solutions have different pH values.

following results were obtained. Compare the two drugs using students t-test. [ t ₈,₀.₀₀₅= 2.306]__

No	Paracetamol	Omeprazole
1	99.47	100.86
2	99.88	110.53
3	101.42	99.57
4	100.99	99.59
5	100.54	100.66

Q:4 A Explain the following terms related to testing of hypothesis:

[1] Type I and II error [2] Null hypothesis [3] standard error [4] Critical region

C Suppose that 15 tablets are available for the comparison of three assay methods. Five 05 tablets for each assay. Five replicate tablets are analyzed in each of the three assay

method groups, one assay per tablet as shown in table

Method A Method B Method C 102 99 103 101 100 100 101 99 99 100 101 104 102 98 102 Mean=101.2 99.4 101.6 s.d= 0.84 1.14 2.07

By applying one way ANOVA test whether the mean assay is the same for the three different groups.[ At 5% level of significance for (2,12) d.f =3.88]

Q:5 A Enumerate various types of non-parametric test. Discuss about merits and limitations of 05 non-parametric methods.

B In order to compare the effectiveness of two sunburn lotions, a random sample of seven 06 subjects is selected. Lotion A is applied to the left side of their faces and Lotion B to the right side. After the subjects have sat in the sun watching a three-hour tennis match, the degree of sunburn is measured on a scale._

Subject	1	2	3	4	5	6	7
Lotion A	48	62	42	69	74	35	84
Lotion B	46	49	48	63	43	32	53

Applying wilcoxon signed rank test, determine whether the data support the claim that the two lotions are equally effective. [ table value for n=7 at 5% level of significance is 2]

vaccination induced on the animals against a particular disease. Use the chi-square test to test the hypothesis that there is no difference between the vaccinated and unvaccinated groups. [ Value of %² for 1 d.f at 5 % level = 3.84]_

	Got disease	Did not get disease
Vaccinated	9	42
Not vaccinated	17	28

Q:6 A Describe cross over designs. What are the merits and demerits of cross over design. Give    06 comparison with parallel design.

D A standard curve passing through the origin was prepared for colorimetric estimation of    04 sulphadiazine. The concentration and absorbance are given below. Find the equation of

line.

Concentration 5 10 15 20 30 40 Absorbance 0.120 0.231 0.362 0.458 0.698 0.888

Differentiate between    06

[a]    Sample and Population

[b]Mann-Whitney    U test and Kruskal-Wallis H- test.

[c]    one tail and two tail test

Join the particular test with the name of scientist:    02

Test	Derived by scientist
T test	Karl Pearson
ANOVA	Sir Francis Galton
Chi-square test	W.S.Gossett
Regression	R.A.Fisher
	None

A soap manufacturing company was distributing a particular brand of soap through a 04 large number of retail soaps. Before a heavy advertisement campaign the mean sales per week per soap was 140 dozens. After the campaign, a sample of 26 soaps was taken and the mean sales were found to be 147 dozens with standard deviation 16. Can you consider the advertisement campaign effective? [ the tabulated value of t = 1.708.]

Two granulations were prepared by different procedure. Seven random samples of    04

powdered mix of equal weight were collected from each batch and assayed for active material. Test is to be performed at 5% level.[ tabulated F value with 6 d.f= 5.8]

Granulation A	Granulation B
20.6	20.2
20.9	21.5
20.6	18.9
20.7	19
19.8	21.8
20.4	20.4
Mean=20.57	Mean=21
S2= 0.156	S2= 1.297

3

Attachment: gujarat-technological-university-2010-b-pharm-52712-1.pdf

Earning:   Approval pending.