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Posted By: RAFI Member Level: Gold Posted Date: 22 May 2008
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2007 Indira Gandhi National Open University (IGNOU) M.B.A Business Administration MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS, December, 2006 Question paper
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MANAGEMENT PROGRAMME
Term-End Examination
December, 2006
MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
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.
(Hi) Statistical tables may be supplied on request.
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 values of x, the number of heads, are shown in the following table. Calculate median, quartiles" and 4 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 electric bulbs were tested for length of life and 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
(c) Bernoulli process
(d) The significance level
(d) 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. 11-50,
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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