Baba Farid University of Health Sciences 2009 B.Pharm B.Pht[Final Prof.] BF/J//07 Applied Mathematics & Statistics - Question Paper

M.M. : 50 Time : two Hours
NOTE : THE CANDIDATES MAY USE SIMPLE CALCULATOR &
MAY ASK FOR LOG TABLES.
part - A
[10]
All ques. are compulsory. every ques. carries two Marks.
1. Prove that seven log 16 + five log 25 + three log 81 = log 2
15 80 80
2. The sum of the squares of 2 numbers is 233 and 1 of the numbers is three less than
twice the other. obtain the numbers.
Prove that tan2 ? – Sin2 ? = tan2 ? sin2 ?
3.
What is Chi-square(x2) test? Under what conditions, is it applicable?
4.
5. Enumerate the different properties of normal distribution.
part – B
[24]
Attempt any four ques.. every ques. carries six Marks.
1. obtain the area of the base of a right tetrahedron whose quantity is 675 three cu cm and
height is 25 cm. Also obtain the side of the base.
If tan A + sin A = m and tan A – sin A = n, then show that m2 - n2 = + four mn.
2.
3. Using Log table evaluate accurate to 3 decimal places 31.42 x 7.192
8(0.236)2
3
4. The median and mode of the subsequent wage distribution are known to be Rs. 3350
and Rs. 3400 respectively:
Wages(in Rs.) 0-1000 1000-2000 2000-3000 3000-4000
No. of employees four 16 f3 f4
Wages(in Rs.) 4000-5000 5000-6000 6000-7000
No. of employees f5 six 4
Total employees = 230
obtain the values of f3, f4 and f5. Also compute Standard deviation of the distribution.
5. Ten recruits were subjected to a selection test to ascertain their suitability for a
certain course of training. At the end of the training, they were provided a proficiency
test. The marks secured by recruits in the selection test(x) and proficiency test(y) are
provided below:
Sr. No. : one two three four five six seven eight nine 10
X : 10 15 12 17 13 16 24 14 22 20
Y : 30 42 45 46 33 34 40 35 39 38
compute Product moment correlation coefficient and Rank correlation
coefficient. Why are 2 coefficients different?
6. a. Write down the applications of t-distribution.
b. The Nicotine content (in milligrams) of 2 samples of tobacco were obtained
to be as follows:
Sample A : 24 27 26 21 26
Sample B : 27 30 28 31 22 36
Can it be stated that 2 samples comes from the identical normal
population?
P.T.O.
part – C
[16]
Attempt any 1 ques..
1a. A piece of cloth costs Rs. 35.00. If the piece be four metres longer and every metre costs
Rs. 1:00 less, the cost would remain unchanged. How long is the piece?
1b. What is meant by Correlation? Also distinguish with suitable examples between:
i) Positive and Negative correlation.
ii) Linear and Non linear correlation.
2a. discuss what is meant by a test of significance. define the procedure of carrying it
out.
2b. In the course of anti-malarial work, Quinine was administered to 606 adults out of
total population of 3540. the incidence of malarial fever is shown beneath. explain the
preventive value of Quinine.
Fever No Fever Total
Quinine 19 587 606
No Quinine 193 2741 2934
TOTAL 212 3328 3540
(x12 0.05 = 3.841, x42 0.05 = 9.488 )
-----------------------

Earning:   Approval pending.