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Thursday, November 26, 2015








Roll No…….
Total No. of Questions: 07

Paper ID [C0104]
MBA (Sem.-1st)
QUANTITATIVE TECHNIQUES (MB-104)
Subject Code: MB-104

Time: 3 Hrs.                                                                           Max. Marks: 60
Instruction to Candidates:
1.     Section-A is Compulsory.
2.     Attempt any Four questions from Section-B.

SECTION-A
Q1.
(a)  Discuss role of statistics in business decisions.
(b) Find the value of x from log83 x=
(c)   Write the power set of A= {1,2,3}.
(d) Find mode of the data: 0,1,6,7,2,3,7,6,6,2,6,0,5,6,0.
(e)  Define the term ‘Kurtosis’.
(f)   The ranks of 10 students in two subjects are as follows:
A
3
5
8
4
7
10
2
1
6
9
B
6
4
9
8
1
2
3
10
5
7

What is the coefficient of rank correlation?
(g)  Find means of x & y from the following regression lines:
3x+2y=26 and 6x+y=31.
(h) Give classification of index numbers.
(i)    A bag contains 7 white and 9 black balls. Find the probability of drawing a white ball.
(j)    Define standard and probable errors.

SECTION-B
Q2.    Assuming x is small, so that x2 and higher powers can be neglected, prove that  is approximately equal to 1
Q3.    (a) If the sum of three numbers in G.P. is 38 and their product is 1728. Find the numbers.
          (b) Find Pearson’s coefficient of correlation:
         
X
10
14
18
22
26
30
y
18
12
24
6
30
36

Q4.    Find mean and standard deviation from the data:
         
Wages (in Rs.)
70-80
80-90
90-100
100-110
110-120
120-130
130-140
140-150
No. of persons
12
18
35
42
50
45
20
8

Q5.    Assuming 4 yearly cycle, calculate the trend values by the method of moving averages and plot the actual data and the trend values:
Year
1987
1988
1989
1990
1991
1992
1993
1994
1995
Sales (1000 Rs.)
285
320
310
362
355
336
350
342
359
         



Q6.    (a) Height of fathers & sons is given. From the two lines of regression using the data:
Height of the father (inches)
65
66
67
67
68
69
71
73
Height of son (inches)
67
68
64
68
72
70
69
70




          (b) Calculate theoretical frequencies using Poisson’s distribution:
         
Deaths
0
1
2
3
4
Frequencies
122
60
15
2
1

Q7.    Two independent samples of 8 and 7 items had the following values of the variables.
         
Sample I
9
11
13
11
15
9
12
14
Sample II
10
12
10
14
9
8
10


          Do the estimates of  population variance differ significantly?

          (Given at 5% level, for 7 and 6 dof F=4.20)

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