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Seat No.: Enrolment No.
GUJARAT TECHNOLOGICAL UNIVERSITY
B.Pharm SEMESTER- II • EXAMINATION SUMMER 2017
Subject Code: 220001 Date: 02/06/2017
Subject Name: Applied Mathematics (Biostatistics)
Time: 10:30 AM to 01:30 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

Enumerated the various methods of sampling and discuss in detail about any two methods with suitable examples.
06

Distinguish between Cluster sampling and Stratified sampling.
05

A population consists of 5 units with values 5. Write down all possible samples of size 2 with and without replacement and find sample mean for each sample.
05
Q.2

What is correlation? Distinguish between positive, negative and zero correlation.
06

Define regression coefficients and state their properties.
05

A Beer's law plot is constructed by plotting ultraviolet absorbance vs. concentration, with following result:
Concentration
1
5
10
15
20
25
30
Absorbance
0.125
0.24
0.368
0.547
0.697
0.785
0.854
Calculate slop and intercept
ii) An unknown has an absorbance of 6.65. What is the concentration?
05
Q.3

Explain following terms.
Hypothesis, Statistical hypothesis, Null hypothesis, Alternative hypothesis, Test of a hypothesis, Critical region, Types of errors in testing of a hypothesis, Level of significance
06

Explain F-test for equality of two variances.
05

Explain Chi-square test.
05
Q.4

Explain two-way analysis of variance.
06

Explain ANOVA and state some application of analysis of variance.
05

It is suspected that four method of analysis in laboratory are not accurate. A
known sample is analyzed using each method and replicate assays performed each with following results:
05
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Method A
Method B
Method C
Method D
10
9
8
9
11
10
8
9
10
11
8
9
By applying one way ANOVA, test whether the mean assay is same for the four different method of analysis. F at 5 level 4.07
Q.5

What arte the advantages and disadvantages of nonparametric tests
06

Write note on followings
Wilcoxon signed rank test ii) Kruskal wallis test
iii) Wilcoxon rank sum test.
05

Explain in detail Rank test.
05
Q. 6

Enumerate the experimental designs in clinical trials? Discuss in detail about any one experimental design.
06

Explain following terms with reference to experimental designs in clinical trials.
Wash out period ii) Carry over effect
iii) Replicate design iv) Crossover Design
05

What is a crossover design? Discuss merits and demerits of crossover design.
05
Q.7

A random sample of 20 tablets from a batch gives a mean ingredient content 42 mg and standard deviation of 6 mg. test the hypothesis that the population mean is 44 mg (ttab at 5 level of significance 2.093)
06

What do you mean by biostatistics? Explain its importance in Pharmacy.
05

Write in detail factors for designing clinical studies.
05