Consider the following two independently chosen samples whose population variances are not equal to each other. Sample 1 12.1 13.4 11.7 10.7 14.0 Sample 2 10.5 9.5 8.2 7.8 11.1 a) Using a significance...

1. Consider the following two independently chosen samples whose population variances are not equal to each other.

Sample 1          12.1     13.4     11.7     10.7     14.0

Sample 2          10.5     9.5      8.2      7.8      11.1

a) Using a significance level of 0.025, test the null hypothesis that µ₁
- µ₂
≤ 0.

b) Calculate the p-value.