Assignment:
Consider the following data for two paired samples:
| Case # |
Sample 1 |
Sample 2 |
| 1 |
285 |
304 |
| 2 |
197 |
190 |
| 3 |
400 |
500 |
| 4 |
350 |
340 |
| 5 |
237 |
250 |
| 6 |
400 |
358 |
| 7 |
370 |
390 |
| 8 |
130 |
100 |
a. Test the following null and alternative hypotheses at an α = 0.05 level: H0: There is no difference between the two population distributions. HA: There is a difference between the two populations.
b. Answer part a as if the samples were independent samples from normal distributions with equal variances.
Provide complete and step by step solution for the question and show calculations and use formulas.