Question: Consider the following sample data drawn independently from normally distributed populations with equal population variances.
| Sample 1 |
Sample 2 |
| 12.1 |
8.9 |
| 9.5 |
10.9 |
| 7.3 |
11.2 |
| 10.2 |
10.6 |
| 8.9 |
9.8 |
| 9.8 |
9.8 |
| 7.2 |
11.2 |
| 10.2 |
12.1 |
a. Construct the relevant hypotheses to test if the mean of the second population is greater than the mean of the first population.
b. What is the inference of the test at a 1% level of significance?
c. What is the inference of the test at a 10% level of significance?