## Quantitative Techniques Question Paper of MBA Semester 1, Download Question Paper 5

• Thursday, November 26, 2015
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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)