Punjab Technical University 2006-1st Sem M.B.A -distance learning programme -university question paper

Quantitative Techniques MBA - first SEMESTER(2096)

1)section -A is compulsory(2 marks each)
2) attempt any nine ques. from part -B(5 marks each)

part -A
1.(a) explain role of mathematics in Business decisions .
(b) explain compliment of a set.
(c) obtain the sum of 3+6+9+12.......to 20terms.
(d) What is princilpe of mathematical induction.
(e) explain inverse of matrix.
(f) explain the advantages of graphic representation of statistical data.
(g) explain merits and demerits of mean, median, and mode.
(h)Differentiate ranging from correlation and regression .
(i)Discuss the properties of correlation coefficient.
(j)Discuss the usefulness of regression in dealing with business issues.
(k)Explain cyclical variations in time series analysis.
(l)What do you mean by cost of residing index.
(m)What is Baye's Theorem.
(n)Comment on the following:
For a set of 10 obsetvations mean=5,and standard deviation=2 and
coefficient ofVariation = 60%
(o)Write a note on theory of estimation.

section-B
2.Solve the subsequent equations using matrices:

2x-3y=3
4x-y= 11 '

3.Calculate mean and median of the subsequent
1,5,10,2,4,19,3, 14,15,25 '
4.Find the sum of all natural numbers ranging from 200 and 400
whIch are divisible by 7

5.Calculate Standard deviation and variance from the subsequent data:

Age : 20-25 25-30 30-35 35-40 40-45 45-50
No. of : 170 110 80 45 40 35
persons

6.Calculate Karl Pearson's coefficient of corelation from the subsequent data:

x y
1 8
2 11
14 18
15 28
8 seven

7.Obtain the equations of the 2 lines of regression for the data provided below:

x Y
3 2
5 3
6 4
8 6
9 5
11 8
5 three
8. What is a time series. elaborate its main components. provide illustration for every of them
9. compute pattern values using 3 yearly moving avg. for the subsequent data:

Year:
X :
1950 500
1951 540
1952 550
1953 530
1954 520
1955 560
1956 600
1957 640
1958 620
1959 610
1960 640

10) what is index number. discuss the different issues involved in the constrution of index number.


11) 6 persons toss a coin turn by turn. The game is won by the playyr who 1st throws head. obtain the probability of success, ofthe 4th player.
12)state the distinctive features of the normal probability distribution.
13)Explain testing of hypothesis. How is it useful in business.

Earning:   Approval pending.