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Course Code : MS-08
Course Title : Quantitative Analysis for
Managerial Applications
Assignment No. : MS08/SEM-II/2007
Coverage :
All Blocks
Note: Attempt all the questions and send it to the coordinator of the study centre, you are attached with.
Note: Attempt all the questions and send it to the coordinator of the study centre, you are attached with.
1. In a management skills test following data was obtained from the scores of 50 young managers.
72 72 93 70 59 78 74 65 73 80 57 67 72 57 83 76 74 56 68 67 74 76 79 72 61 72 73 76 67 49 71 53 67 65 100 83 69 61 72 68 65 51 75 68 75 66 77 61 64 74
a.) Prepare the frequency distribution table and the frequency histogram for this data set.
b.) Compute the sample mean, sample median, sample range, inter-quartile range and sample variance.
2. A sample of 2000 individuals is distributed according to eye color and the presence or absence of a certain ophthalmic trait as follows:
|
EYE COLOR |
|
| TRAIT |
Blue |
Brown |
Other |
Total |
| Yes |
400 |
270 |
130 |
800 |
| No |
200 |
650 |
350 |
1200 |
| Total |
600 |
920 |
480 |
2000 |
In a random selection of an individual from the study population, what is your estimate of the probability that:
a.) The person has blue eyes?
b.) The person has neither brown nor blue eyes given that the trait is absent?
c.) The person does not have brown eyes?
d.) The person does not have the trait or does not have brown eyes?
3. What is the difference between a discrete and a continuous random variable? Give some examples of each to support your statement.
4. Forty-nine sumo wrestlers, observed at random, yield a mean weight of 160 kilograms with a standard deviation (s) of 11 kilograms. Are these observations consistent with the hypothesis that the mean weight of all sumo wrestlers is 170 kilograms?
5. Explicate what correlation coefficients of -1, 0 and 1 mean, using graphs to illustrate. What is the accuracy of prediction in each of these three cases given by
and why?
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