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ASSIGNMENT
Course Code : MS - 8
Course Title : Quantitative Analysis for Managerial Applications
Course Code : MS - 8
Course Title : Quantitative Analysis for Managerial Applications
Q1. The frequency distribution of total annual emoluments of a sample of 100 executives working in multinational companies is given below:
Total Emoluments 02–06 06 –10 10-14 14 -18 18-22 22-26 26-30
(in Rs Lac)
Number of Executives 10 15 30 18 12 09 06
Find a) median emoluments, b) mode emoluments, c) 3rd quartile, and d) 9th decile.
Total Emoluments 02–06 06 –10 10-14 14 -18 18-22 22-26 26-30
(in Rs Lac)
Number of Executives 10 15 30 18 12 09 06
Find a) median emoluments, b) mode emoluments, c) 3rd quartile, and d) 9th decile.
Q2.A population consisting of a certain proportion of defective
items has mean ยต = 2. If a sample of 4 items is examined and repeated 200
times, obtain a) probability of an item being defective, b) probability of
getting 2 defective items in the sample, c) expected frequency of getting 2
defective items, and d) expected frequency of getting at the most 2 defective
items. Is the resultant distribution skewed?
Q3. A research organization claims that the monthly wages of
industrial workers in district X exceeds that of those in district Y by more
than Rs 150. Two different samples drawn independently from the two districts
yielded the following results:
District X:
District Y:
Verify at 0.05 level of significance whether the sample results
support the claim of the organization.
Q4. The following data relate to marketing expenditure in Rs lac
and the corresponding sales of a product in Rs crores. Estimate the marketing
expenditure to attain a sales target of Rs 40 crores.
5. Write short notes on:
i) Adjoint of a matrix
ii) Skewness and its measures
iii) Business forecasting
