Ms-8
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ASSIGNMENT Course Code Course Title Assignment No. Coverage
: MS 08 : Quantitative Analysis for Managerial Applications : 08/TMA/SEM-II/2009 : All Blocks
Note: Attempt all the questions and send it to the coordinator of the study centre, you are attached with.
1. Write a detailed note on Normal Distribution, Standard Normal Variety and the Central Limit Theorem. Illustrate the concepts with the help of diagrams. 2. From the following data compute quartile deviation and the coefficient of skewness: Size Frequency
4.5-7.5 14
7.5-10.5 24
10.5-13.5 38
13.5-16.5 20
16.5-19.5 4
3. A bank has a test designed to establish the credit rating of a loan application. If the persons, who default (D), 90% fail the test (F). Of the persons, who will repa the bank (ND), 5 % fail the test. Furthermore, it is given that 4% of the population is not worthy of credit (i.e. defaulters). Given that someone failed the test, what is the probability that he actually will default (When given the loan)? 4. Two laboratories A and B carry out independent estimates of fat content in ice cream made by a firm. A sample taken from each batch gives the following fat content: Batch NoLab A Lab B
1 2 3 4 5 6 7 8 9 10 7 8 7 3 8 6 9 4 7 8 9 8 8 4 7 7 9 6 6 6
Is there a significant difference between the mean fat-content obtained by the two laboratories A and B? 5. Given the bivariate data:
3
X Y
1 6
5 1
3 0
2 0
1 1
1 2
7 1
3 5
a. Fit a regression line of Y on X and hence predict Y if X=10 b. Fit a regression line of X on Y and hence predict X if Y =2.5
4
: MS 08 : Quantitative Analysis for Managerial Applications : 08/TMA/SEM-II/2009 : All Blocks
Note: Attempt all the questions and send it to the coordinator of the study centre, you are attached with.
1. Write a detailed note on Normal Distribution, Standard Normal Variety and the Central Limit Theorem. Illustrate the concepts with the help of diagrams. 2. From the following data compute quartile deviation and the coefficient of skewness: Size Frequency
4.5-7.5 14
7.5-10.5 24
10.5-13.5 38
13.5-16.5 20
16.5-19.5 4
3. A bank has a test designed to establish the credit rating of a loan application. If the persons, who default (D), 90% fail the test (F). Of the persons, who will repa the bank (ND), 5 % fail the test. Furthermore, it is given that 4% of the population is not worthy of credit (i.e. defaulters). Given that someone failed the test, what is the probability that he actually will default (When given the loan)? 4. Two laboratories A and B carry out independent estimates of fat content in ice cream made by a firm. A sample taken from each batch gives the following fat content: Batch NoLab A Lab B
1 2 3 4 5 6 7 8 9 10 7 8 7 3 8 6 9 4 7 8 9 8 8 4 7 7 9 6 6 6
Is there a significant difference between the mean fat-content obtained by the two laboratories A and B? 5. Given the bivariate data:
3
X Y
1 6
5 1
3 0
2 0
1 1
1 2
7 1
3 5
a. Fit a regression line of Y on X and hence predict Y if X=10 b. Fit a regression line of X on Y and hence predict X if Y =2.5
4
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