IGNOU MS-08 SOLVED ASSIGNMENT JANUARY-JUNE 2018

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Course Code                           :           MS-08

Course Title                             :           Quantitative Analysis for Managerial Applications

Assignment Code                    :           MS-08/TMA/SEM-I/2018

Coverage                                :           All Blocks

Note : Attempt all the questions and submit this assignment on or before 30^th April,  2018 to the coordinator of your study center.

1. A sample survey of 100 families belonging to the middle income group revealed the following distribution according to their annual savings. Find a) average annual sayings, using the efficient method, b) 5th decile, and c) 90th percentile.

Savings (Rs ‘000)	05-09	09-13	13-17	17-21	21-25	25-30	30-35
Number of Families	07	10	15	23	25	14	06

2. It is known that the number of heavy trucks arriving at a railway station follows the Poisson distribution. If the average number of truck arrivals during a specified period of half an hour is 2, find the probabilities that during a given half an hour a) no heavy truck will arrive, b) at least two heavy trucks will arrive, c) at the most 3 heavy trucks will arrive, and d) between 1 and 3 heavy trucks will arrive.
3. A sample survey of tax-payers belonging to business class and professional class yielded the following results:

	Business class	Professional class
Sample size	n1 = 400	n2 = 420
Defaulters in tax payment	x1 = 80	x2 = 65

Test the hypothesis at  = 0.01 level of significance that

a) defaulter rate is the same for the two classes of tax-payers, and

b) defaulter rate is higher in the business class than in the professional class by 0.03.

4. A set of paired data on X and Y has mean of X as 36, mean of Y as 85, standard deviation of X as 11, standard deviation of Y as 8, and coefficient of correlation between X and Y as 0.66. Obtain a) the two regression equations, and b) value of X when Y= 75.
5. Write short notes on any three of the following:

(a) Absolute value function

(b) Baye’s Theorem

(c) Multistage Sampling

(d) Delphi method of forecasting

IGNOU MS-08 SOLVED ASSIGNMENT JANUARY-JUNE 2018

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