Test Papers / Previous Question Papers of IGNOU MS8 Quantitative Analysis for Managerial Applications December 2006

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 Quantitative Analysis for Managerial Applications

December 2006

SECTION A

1 . What are functions ? Describe different types of functions. Discuss the business applications of one such function with the help of an example.

2. Eight coins were tossed together and the number of heads (x) resulting was noted. The operation was repeated 256 times and the frequencies (f) that were obtained for different v&ues of x, the number of heads, are shown in the following table. Calculate median. quartiles and 4th decile.

x	0	1	2	3	4	5	6	7	8
f	1	9	26	59	72	52	29	7	1

3. If two dice are thrown, what is the probability that the sum of numbers that appeared on them is

(a) greater than 8 ?

(b) neither 7 nor 11 ?

4. Samples of two types of electiic buibs were tested for length of life arid the following data were obtained

	Type I	Type II
Number in the sample	8	7
Mean of the sample (hrs)	1134	1024
Standard deviation of the sample (hrs.)	40	35

Test whether the two types of bulbs have the same length of life.

5. The following table gives the number of screws declared fit and also unfit by three inspectors X, Y and Z. Test the hypothesis that the proportion of screws declared unfit by the three inspectors are same.

	Number of Screws
Inspector	X	Y	Z	Total
Fit Screws	50	47	56	153
Unfit Screws	5	14	8	27
Total	55	61	64	180

6. Write short notes on any three of the following

(a) Scalar Matrix

(b) Relationship between mean, median, mode

(d) The significance level

(e) Standard error of forecast

SECTION B

7. An auditor has found that the credit rewards of a large mail order have been approximately normally distributed and show an average account billing error of Rs. 10 and a standard deviation of Re. 1 (billing error may be positive or negative according to whether purchases were overcharged or undercharged). Suppose credit account is randomly selected from the files of the mail order house. Find the probability of a billing error between Rs. 10 and Rs. 1150.

8. The following table gives the age of cars of a certain make and actual maintenance costs. Obtain the regression equation for costs related to age. Also estimate the maintenance cost for a ten year old car.

Age of car (years)	2	4	6	8
Maintenance cost (Rs. hundreds)	10	20	25	30

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