Ms-8 Question bank (12)
Ms-8 Question bank
Ms-8 Dec 2009
Written by sales@mbaonlinepapers.com sales@mbaonlinepapers.comMS-8 Dec, 2009
MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
1.The following data describes the age at which employees reach to the level of 'senior manager in a multinational company
|
Age in years |
Below 34.5 |
34.5-37.5 |
37.5-40.5 |
40.5-43.5 |
Over 43.5 |
|
No of people reaching the leve |
14 |
60 |
95 |
24 |
7 |
Find the quartile deviation.
2. In a bolt factory, machines A, B, C manufacture respectively 25%, 35% and 40% of the total production. Of their output 5%, 4% and 2% respectively are defective bolts. A bolt is drawn at random and is found to be defective. What is the probability that it is manufactured by machine B ?
3. Describe the design of stratified sampling. What is a strata ? Discuss about proportional allocation and disproportional allocation.
4. In a study to test whether there is difference between the average heights of adult females born in two different countries, random samples yielded the following results.
n1=120 , n2 = 150 , mean of x1=62.7 , mean of x2=61.8 and s1=2.50 and s2=2.62
where the measurements are in inches. Use 0.05 level of significance to test the difference between the average heights.
5. Find the most likely price of commodity A in Mumbai corresponding to the price of Rs. 70 at Kolkata from the following data.
Average Price in Kolkata Rs. 65
Average Price in Mumbai Rs. 67
Standard Deviation of prices in Kolkata Rs. 2.5
Standard Deviation of prices in Mumbai Rs. 3.5
Correlation coefficient between two + 0.8 prices in two towns
6. Write short notes on any three of the following :
a) Cramer's Rule.
b) Exponential Smoothing.
c) More than type ogive.
d) Cumulative Density Function (cdf) of a continuous random variable.
(e) Power curve of a test.
7.In a locality containing 18000 families a sample of 840 families was selected at random. Of these 840 families 206 families were found to have a weekly income of Rs. 500 or less. It is desired to know how many out of 18000 families have a weekly income of Rs. 500 or less. Use 3 sigma limits.
8. A tour operator charges Rs. 136 per passenger for 100 passengers with a discount of Rs. 4 for every group of 10 passengers in excess of 100. Determine the number of passengers that will maximize the amount of inoney the tour operator receives.
Ms-8 Dec 2010
Written by sales@mbaonlinepapers.com sales@mbaonlinepapers.comMS-8 Dec, 2010
MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
Ms-8 Dec 2011
Written by sales@mbaonlinepapers.com sales@mbaonlinepapers.comMS-8 Dec, 2011
MS-8 : QUANTITATIVE ANALYSIS FOR MANAGERIAL APPLICATIONS
1. What do you understand by a continuous frequency distribution ? Explain various terms that are frequently used in a frequency distribution. Also highlight the difference in inclusive and exclusive methods of classes.
2. Consider the following matrix of transition
probabilities of a product available in the market
in two brands.
Brand A Brand B
Brand A 0.9 0.1
Brand B 0.3 0.7
Determine the market shares of each of the brand in equillibrium position
3. A manufacturer buys parts from four different vendors numbered 1, 2, 3, and 4. Referring to orders placed on two successive days, (1, 4) denotes the event that on the first day, the order was given to vendor 1 and on the second day it was given to vendor 4. Letting A represent the event that vendor 1 gets at least one of these two orders, B the event that the same vendor gets both orders and C the event that vendors 1 & 3 do not
get either order. List the elements of (a) Entire sample space (b) BUC (c) A
4. In a random sample of 500 people of a city, it was found that 160 people have a car from Maruti Suzuki family. Find a 95% confidence interval for the actual proportion of people who have a car from Maruti Suzuki family.
5. Quotations of index numbers of equity shares price of a certain joint stock company and of prices of preference shares are given below :
|
Year |
2003 |
2004 |
2005 |
2006 |
2007 |
2008 |
2009 |
|
Equity shares |
97.5 |
99.4 |
98.6 |
92.2 |
95.1 |
98.4 |
97.1 |
|
Preference shares |
75.1 |
75.9 |
77.1 |
78.2 |
79 |
74.8 |
76.2 |
Use the method of Rank correlation to determine the relationship between equity share and preference share prices.
6. Write short notes on any three of the following :
(a) Inductive statistics
(b) Skewness
(c) Criterion of pessimism
(d) Double sampling
(e) Auto - correlation & Time series
7. The incomes of a group of 10,000 people were found to be normally distributed with mean Rs 7500 p.m and standard deviation Rs 500. Show that of this group 95% had incomes exceeding Rs 6680 and only 5% had income exceeding Rs 8320.
8. The following table gives the number of accounting clerks committing errors and not
committing errors between trained and untrained clerks working in an organisation :
|
Clerks |
Committing Errors |
Not Committing Errors |
Total |
|
Trained |
70 |
530 |
600 |
|
UnTrained |
155 |
745 |
900 |
|
Total |
225 |
1275 |
1500 |
Test the effectiveness of training in preventing errors. Use 0.05 level of significance
Given X at 1 d.f and a=0.05 =3.841).
