Test Papers / Previous Question Papers of IGNOU MS8 Quantitative Analysis for Managerial Applications June 2007

Time: 3 hours
Maximum Marks: 100
Weightage: 70%

Note: (i) Section A has six questions, each carrying 15 marks. Attempt any four questions
(ii) Section B is compulsory and carries 40 marks, Attempt both questions.
(iii) Statistical tables may be supplied on demand

MS8(S) Quantitative Analysis for Managerial Applications

June 2007

SECTION A

1. What are matrices? How are determinants different from matrices ? Discuss few applications of matrices in business.

2. An analysis of daily wages paid to workers in two firms A and B belonging the same industry gives the following to results :

	Firm A	Firm B
No. of workers :	500	600
Average daily wage :	Rs. 186/-	Rs. 175/-
Variance of distribution of wages :	81	100

(i) Which firm, A or B, has a larger wage bill ?

(ii) In which firm, A or B, is there greater variability in individual wages ?

(iii) Calculate the average daily wage of all the workers In the firms A & B taken together.

3. If X is normally distributed and the mean of X is 12 and standard deviation is 4, find out the probability of the following :

(i) x ≥ 20

(ii) x ≤ 20

(iii) 0≤X≤12

4. Random samples drawn from two countries gave the following data relating to the heights of adult males :

Country A	Country B
Mean height in inches	67.42	67.25
Standard deviation	2.58	2.50
Number in samples	1000	1200

Is the difference between means level of significance.

5. The following figures show the distribution of digits in numbers chosen at random from a telephone directory :

Digits	Frequency
0	1026
1	1107
2	997
3	966
4	1075
5	933
6	1107
7	972
8	964
9	853
Total	10,000

Test whether the digits rnay be taken to occur equally frequently in the directory significant

6. Write short notes on any three of the following :

(a) Step function

(b) More than type ogive

(d) Double sampling

(e) Auto regressive models

Section B

7 . Two dice, one green and other red, arethrown. Let A be the event that the sum of points on the faces shown is odd, and B the event of at least one ace (number 1).

Find the probabilities of the events:

(i)AnB

(ii) AnB(iii) An(AuB)

(iv) A|B

8. The ranks of same 16 students in Mathematics and Physics are as follows. Two numbers within brackets denote the ranks of the students in Mathematics and Physics.

(1, 1), (2, 10), (3, 3) , (4, 4), (5, 5) , (6, 7), (7, 2), (8, 6),(9, 8), (10, 11), (11, 15), (12, 9), (13 , 14), (14 , 12), (15, 16) (16, 13)

Calculate the rank correlation coefficient for proficiencies of this group in Mathematics and Physics.

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