MMPC–005 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS ( June 2024 Question Paper)

 No. of Printed Pages : 4 MMPC–005

MASTER OF BUSINESS ADMINISTRATION (MBA)

Term-End Examination

June, 2024

MMPC–005 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS

Time : 3 Hours Maximum Marks : 100

Note :

Section A has six questions, each carrying 15 marks. Attempt any four questions.

Section B is compulsory and carries 40 marks. Attempt both the questions.

Use of calculator is permissible.

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Section–A

1.

“Primary data may either be collected through the observation method or through the questionnaire method.” Explain, in view of the above statement, any one method in brief.

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2.

Seven methods of imparting business education were ranked by the MBA students of two universities as follows:

Method of Teaching	I	II	III	IV	V	VI	VII
Rank by Students of University A	2	1	5	3	4	7	6
Rank by Students of University B	1	3	2	4	7	5	6

Calculate the Rank Correlation Coefficient and interpret the result.

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3.

The distribution of the total time a light bulb will burn from the moment it is first put into service is known to be exponential, with the mean time between failures equal to 1000 hours.

What is the probability that a bulb will burn more than 1000 hours?

(Given: $e^{-1} = 0.368$)

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4.

Explain why forecasting is so important in business. Identify the applications of forecasting for medium-term and short-term decisions.

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5.

Explain the concept of sampling distribution. Also, state why we need to study sampling distributions.

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6.

Write short notes on any three of the following:

(a) Mathematical Properties of Median

(b) Pascal Distribution

(c) Hypothesis Testing Procedure

(d) Linear Regression

(e) Stratified Sampling

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Section–B

7.

Five coins are tossed 3200 times and the following results are observed:

Number of Heads	Frequency
0	80
1	570
2	1100
3	900
4	500
5	50

Test the hypothesis that the coins are biased.

You may use the following table while drawing your conclusion:

Degree of Freedom (D.F.)	χ² Value at 5% Level of Significance
1	3.841
2	5.991
3	7.851
4	9.488
5	11.070
6	12.592

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8.

Explain the term probability theory. What are the different approaches to probability theory?