Download GTU (Gujarat Technological University) B.Pharma (Bachelor of Pharmacy) 2017 Winter 2nd Sem 220001 Applied Mathematics (Biostatistics) Previous Question Paper
GUJARAT TECHNOLOGICAL UNIVERSITY
B.Ph. - SEMESTER? II ? EXAMINATION ? WINTER-2017
Subject Code: 220001
Date: 28/12/2017
Subject Name: Applied Mathematics (Biostatistics)
Time: 02:30PM TO 05:30PM
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) A Beer's law plot is constructed by plotting ultraviolet absorbance vs.
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concentration, with following result:
Concentrati
1
2
3
4
5
6
7
on ( x)
Absorbance 0.125 0.24 0.368
0.547
0.697
0.785
0.854
( y)
i) Calculate slop and intercept
ii) An unknown has an absorbance of 6.65. What is the concentration?
(b) Define regression coefficients and state their properties.
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(c) A population consists of 6 units with values 3, 2, 1, 4, 6, 5. Write down all 05
possible samples of size 2 with and without replacement and find sample mean
for each sample.
Q.2 (a) What is correlation? Distinguish between positive, negative and zero
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correlation.
(b) Explain sampling methods.
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(c) Explain Chi-square tes t with equation.
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Q.3 (a) Explain following terms.
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Hypothesis, Statistical hypothesis, Null hypothesis, Alternative hypothesis, Test
of a hypothesis, Critical region, Types of errors in testing of a hypothesis, Level
of significance
(b) Explain two-way analysis of variance.
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(c) It is suspected that four method of analysis in laboratory are not accurate. A
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known sample is analyzed using each method and replicate assays performed
each with following results:
Method A
Method B
Method C
Method D
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9
8
9
11
10
8
9
10
11
8
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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.4 (a) Explain F-test for equality of two variances.
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(b) Explain ANOVA and state some application of analysis of variance.
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(c) Enumerated the various methods of sampling and discuss in detail about any
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two methods with suitable examples.
Q.5 (a) Write in detail factors for designing clinical studies.
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(b) Explain following terms with reference to experimental designs in clinical
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trials.
i) Wash out period ii) Carry over effect
iii) Replicate design iv) Crossover
(c) What is a crossover design? Discuss merits and demerits of crossover
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design.
Q. 6 (a) Enumerate the experimental designs in clinical trials? Discuss in detail
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about any one experimental design.
(b) DesignWrite note on followings
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i) Wilcoxon signed rank test ii) Kruskal wallis test iii) Wilcoxon rank sum
test.
(c) Explain in detail Rank test.
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Q.7 (a) A random sample of 20 tablets from a batch gives a mean ingredient content 42
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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)
(b) What do you mean by biostatistics? Explain its importance in Pharmacy.
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(c) What is the advantages and disadvantages of nonparametric tests
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