MS - 08: Quantitative Analysis for Managerial Applications

School of Management Studies
INDIRA GANDHI NATIONAL OPEN UNIVERSITY
MAIDAN GARHI, NEW DELHI – 110 068
MS-08
ASSIGNMENTS
Course Code : MS 08
Course Title : Quantitative Analysis for Managerial Applications
Assignment No. : MS-08/TMA/SEM-I/2018
Coverage : All Blocks
Note : Attempt all the questions and submit this assignment on or before 30th 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 α = 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

ASSIGNMENT
Course Code : MS-08
Course Title : Quantitative Analysis for Managerial Applications
Assignment Code : MS-08/TMA/SEM-II/2017
Coverage : All Blocks
Note : Attempt all the questions and submit this assignment on or before 31st October, 2017 to the
coordinator of your study center.
1. What factors in modern society contribute to the increasing importance of quantitative approach to management? List one application of quantitative techniques in each functional area of management.
2. From the frequency distribution, find the standard deviation using the formula for the grouped
data:

3. In a study to test whether there is a difference between the average height of adult females born in two different countries, random samples yielded the following results:
n1 = 120, x1 = 62.7, s1 = 2.50
n2 = 150, x2= 61.8, s2 = 2.62
where the measurements are in inches. Use 0.05 level of significance to test the difference between the average heights.
4. Write short notes on:
(a) The F- distribution
(b) Auto-Regressive (AR) models.
5. Find the area under the standard normal curve, which lies
(a) to the left of z = 0.94
(b) to the right of z = -0.65
(c) to the right of z = 1.76
(d) between z= - 0.34 and z= 0.62