Uttar Pradesh Technical University (UPTU) 2010 B.Pharm Pharmaceutical Biostatistics - Question Paper

B. Pharm (UPTU)
Second Semester Examination, 2009-10
Pharmaceutical Biostatistics

Time: three Hours Total Marks: 80

Note: Attempt All ques. in Section-A, any 6 ques. in Section-B and any 4 ques. in Section-C.

Section-A
Fill in the blanks in the subsequent questions: (16×1=16)
1) The number of elements in a large sample is greater than _____.

2) The data collected from primary source of info is called _____.

3) The diagram which enables us to show the partitioning of a total into its component parts is known as _____.

4) Standard fault of mean is equal to _____.

5) The empirical relation ranging from mean, median and mode is _____.

select the accurate choices in subsequent questions:
6) The quartile deviation of 13, 8, 16, 11, 20, 18, 26 is:
a) 3.5
b) 4.5
c) 8
d) None of these

7) The mean deviation about mean of the data:
32, 36, 30, 64, 56, 73, 38 is:
a) 13
b) 30
c) 14.86
d) None of these

8) The standard deviation of 48, 58, 62, 45, 64, 52, 59, 53 is:
a) 6.25
b) 6.29
c) 7
d) None of these

9) In a single cast with 2 dice, the probability of throwing seven is:
a)
b)
c)
d) None of these

10) When mean = mode = median, then the distribution is known as:
a) Positively skewed
b) Negatively skewed
c) Normal
d) None of these

11) The Kurtosis is described as measure of degree of:
a) Peakedness
b) Symmetry
c) Breadth
d) None of these

12) The correlation is perfect if:
a) r = 1
b) r = 0
c) r = 2
d) None of these

13) Parameter is the name provided to mean, variance, etc., of:
a) Sample
b) Population
c) Degree of freedom
d) None of these

14) F-test is used to test of equality of two:
a) Population variance
b) Means
c) Sample variance
d) None of these

15) The standard deviation of standard normal distribution is:
a) 0
b) 1
c) 1.5
d) None of these

16) The technique of analysis of variance is known as:
a) t-test
b) ?2 test
c) ANOVA
d) None of these

Section-B
(6×4=24)
17) If the 1st 4 moments about the mean of a distribution are 0, 7.058, 36.151 and 408.738 respectively. compute the coefficients of skewness and kurtosis.

18) Three balls are drawn at random from a bag containing six blue and four red balls. What is the probability that 2 balls are blue and 1 is red?

19) A certain stimulus administered to every of the 12 patients resulted in the subsequent increase of blood pressures 5, 2, 8, –1, 3, 0, –2, 1, 5, 0, four and 6. Can it be computed that the stimulus will, in general be accompanied by an increase in blood pressure?
(Given that for 11 degree of freedom t0.01 = 2.2)

20) From the subsequent data, obtain the line of regression of y on x:
x 1 2 3 4 5
y 2 3 5 4 6

obtain also the most probable value of y when x = 2.5.

21) The subsequent data provide the cost of different components in construction of a house:
Item % Expenditure
Labor 25%
Cement, Bricks 30%
Steel 15%
Timber, Glass 20%
Misc. 10%
Represent the above data by pie diagram.

22) Write short note on:
a) Stratified Random Sampling
b) Purposive Sampling

23) Find quartile deviation of the subsequent frequency distribution:

Daily Wages 10-15 15-20 20-25 25-30 30-35
No. of Workers 8 14 20 12 6

24) A sample of 100 measurements of breaking strength of cotton threads gave a mean of 7.4 ounces and standard deviation of 1.2 ounces. obtain 95% confidence limits for the mean breaking strength.

Section-C
(4×10=40)
25) The subsequent data provide the yields of 12 plots of land in 3 sample, every of four plots under 3 varieties of fertilizers A, B and C.

A B C
25 20 24
22 17 26
24 16 30
21 19 20

Is there any significance difference in the avg. yields of land under the 3 varieties of fertilizers? (Given that value of F at 5% for (2, 9) degree of freedom is 4.26.)

26) The formula of 2 lines of regression found in a correlation analysis are 2x + 3y – eight = 0 and x + 2y – five = 0. find the correlation coefficient and the variance of y if variance of x is 12.

27) The probability that a man aged 45 years will die within a year is 0.012. What is the probability that out of 10 such men atleast nine will reach their 46th birthday? (Given that e –0.12 = 0.88692)

28) Find the median and mode of the subsequent frequency distribution:

No. of Days <5 <10 <15 <20 <25 <30 <35 <40 <45
No. of Students 29 224 465 582 634 644 650 653 655

29) Write short note on any 5 of the following:
a) Histogram
b) Correlation
c) Regression
d) Median
e) Mode
f) Skewness
g) Kurtosis

Earning:   Approval pending.