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No. of Printed Pages : 4 MANAGEMENT PROGRAMME r c

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MS-8

Term-End Examination June, 2013 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 from this section. (ii) Section-B has two questions, each carrying 20 marks. Attempt both the questions from this section. (iii) Tables may be supplied on request. Use of calculators may be permitted. SECTION-A

1.

If an amount of Rs. 10,000/- is invested at a simple interest of 15% per annum, how much it will become at the end of 5 years ? And if this amount is invested at a compound interest of 12% per annum (the interest being compounded on yearly basis), how much it will become at the end of 5 years ? Also answer that the invested amount will be more at the end of 5 years in which case. 1

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MS-8

P.T.O.

2.

In a bolt factory, machines A, B, C manufacture 25%, 35%, 40% bolts respectively. Out of these bolts, 5%, 4%, 12% defective ones came from machines A, B, C respectively. Find the probability that a bolt found to be defective came from machine B. Give definitions of Less than and More than ogives. After this, draw their graphs for the frequency distribution showing the marks of 56 students shown in the table below : Marks 0-10 10 - 20 20 - 30 30 - 40 40 - 50 50 - 60 Number of students 4 8 11 15 12 6

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3.

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Table - Frequency distribution showing number of students in intervals of marks.

4.

The results of a survey of 320 families with 5 children together with observed and expected frequencies are shown in the table below :

Number of boys and girls Observed frequencies Expected frequencies

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5 Boys 4 Boys 3 boys 2 boys 1 boy 0 Boy Total and and and and and and 0 girl 1 girl 2 girls 3 girls 4 girls 5 girls 18 10 56 50 110 100 88 100 40 50 8 10 320 320

MS-8

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Using chi-square test of goodness of fit, answer whether the hypothesis that the births of...