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

Roll No…….

Total No. of Questions: 07

Paper ID [C0104]

MBA (Sem.-1^st)

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)