Question 1
Samples of employees of Companies A and B provided the following information regarding the ages of employees.
| Company A | Company B |
Sample Size | 32 | 36 |
Average Age | 42 | 47 |
Variance | 16 | 36 |
Develop a 97% confidence interval for the difference between the average ages of the employees of the two companies.
Question 2
Samples were selected from three populations. The data obtained are shown below.
| Sample 1 | Sample 2 | Sample 3 |
| 10 | 16 | 15 |
| 13 | 14 | 18 |
| 12 | 15 | |
| 13 | | |
| | | |
| | | |
| | | |
Sample Mean  | 12 | 15 | 16.5 |
Sample Variance  | 2.0 | 1.0 | 4.5 |
a. | Compute the overall mean . |
b. | Set up an ANOVA table for this problem. |
c. | At 95% confidence, test to determine whether there is a significant difference in the means of the three populations. Use both the critical and p-value approaches. |