(1) The two-sample t-test is one of the most commonly used hypothesis tests in Six Sigma work. It is applied to compare whether the average difference between two groups is really significant or if it is due instead to random chance. Select an application of the two-sample t-test and describe how it was justified to use the t-test for this particular application.

Describe what the P-value of the 2-sample t-test of your example in part (1) means. Don't provide a general definition of the P-value in hypothesis testing problems but interpret the P-value in the context of the particular example that you have selected.