Advanced Statistics Assignment 1#
Each question carries 2.5 marks (2.5 × 4=10 Marks)
1) Submissions are individual
2) Solve these on paper, scan and upload
3) Plagiarism results in zero marks
4) Write your name, BITS ID on each page
Q1. Feedback scores of three professors in four different courses taught by them are given
below. Test the hypothesis that the feedback of professors is same for all the courses at 1%
level of significance.
| Professor | Course A | Course B | Course C | Course D |
|---|---|---|---|---|
| X | 4.5 | 4.2 | 3.3 | 3.6 |
| Y | 3.8 | 4.1 | 2.7 | 4 |
| Z | 4 | 3.4 | 3.4 | 3 |
Q.2. Consider the following data.
| PROCESS | SAMPLE SIZE | MEAN LIFE | STANDARD DEVIATION |
|---|---|---|---|
| A | 20 | 20,400 | 100 |
| B | 25 | 21,800 | 100 |
Test the hypothesis that average life of the two processes are significantly different at 5% level of
significance.
Q.3. Calculate the Correlation coefficient between the sample of ISM Quiz-1 marks and
Assignment-1 Marks as below and also interpret the result.
| ---------------- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |
|---|---|---|---|---|---|---|---|---|---|---|
| Student | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Quiz Marks | 5 | 4.5 | 3 | 5 | 4.5 | 4.5 | 4.5 | 5 | 5 | 4.5 |
| Assignment Marks | 8.5 | 9 | 5.5 | 9.5 | 9 | 9.5 | 10 | 9.5 | 9 | 9 |
| Student | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
| Quiz Marks | 4.5 | 4.5 | 5 | 3.5 | 4.5 | 5 | 5 | 4.5 | 5 | 4.5 |
| Assignment Marks | 10 | 10 | 8.5 | 9 | 7.5 | 9.5 | 9.5 | 9.5 | 9 | 9.5 |
Q.4.A manager of a Merchandising firm wishes to test whether its three salesmen X, Y and Z
tend to make sales of the same size or whether they differ in their selling abilities. During a
week there have been 14 sale call; X made 5 calls, Y made 4 calls and Z made 5 calls. Following are the weekly sales record of three salesmen:
| --- | --- | --- | --- | --- | --- |
|---|---|---|---|---|---|
| X | 5 | 4 | 7 | 8 | 6 |
| Y | 3 | 7 | 4 | 6 | - |
| Z | 5 | 3 | 5 | 4 | 3 |
Perform the analysis of variance and draw your conclusion.
My Submission#
My submission can be found here
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