MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
O
Time : 3 hours Note :
Maximum Marks : 100 (Weightage 70%)
(i)
Section A has six questions, each carrying 15 marks. Attempt any four questions from this Section. (ii) Section B is compulsory and carries 40 marks. Attempt both questions. (iii) Statistical tables may be supplied on request. (iv) Use of calculator is permissible.
SECTION
-
A
1.
A person pays a total of Z 975 through monthly installments each less than the former by Z 5. The first installment is ! 100. In how many installments will the amount be paid ?
2.
Calculate the harmonic mean from the following frequency distribution : Class
0 -10 10 - 20 20 - 30 30 - 40 Frequency 5 8 3
MS-8
1
P.T.O.
3.
4.
The incidence of a certain disease is such that on an average 20% of workers suffer from it. If 10 workers are selected at random, find the probability that : (a)
Exactly two workers suffer from the disease.
(b)
Not more than 2 workers suffer from the disease.
Explain the meaning of sampling distribution of a sample statistic. Obtain the sampling distribution of mean in case of sampling from infinite populations.
5. A company wants to study the relation between R and D expenditure (X) and sales (Y) for the ten-year period. Determine the correlation coefficient between these variables. 5 X (in thousands) 50 50 50 40 30 20 20 15 10 450 400 300 250 210 200 700 650 600 500 Y (in thousands)
6.
Write short notes on any three of the following :
MS-8
(a)
Identity matrix
(b)
Quantiles
(c)
Axioms of probability
(d)
The power curve of a test
(e)
Mixed Auto-regressive - moving average models 2
SECTION - B 7.
The mean life of a sample of 10 electric bulbs was found to be 1456 hours with a standard deviation of 423 hours. A second sample of 17 bulbs chosen from a different batch showed a mean life of 1280 hours with a standard deviation of 398 hours. Is there a significant difference between the means of the two batches ?
8.
What is skewness ? Distinguish between Karl Pearson's and Bowley's coefficient of skewness. Which one of these would you prefer and why ?
industrialist in India. ... India. Even though some of his subsidiaries have gone public, most of his industries are still ... accounts with freedom to make decisions.
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A leading FMCG manufacturer currently markets its brand of a clothes starch which is in dissolvable powder form. It now plans to launch a spray version of this ...
retail operation as a strategic tool for ... to premium brand of apparels and other services to the customers. The emporium as mentioned earlier is the oldest.
Define the concept of strategy. Explain the Boston. Consulting Group (BCG) model, General Electric. (GE) planning model and highlight their usefulness.
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