Chapter 11, Problem 6CRP

(a)

(i)

To determine

The level of significance and state the null and alternative hypotheses.

(ii)

To determine

The sampling distribution to be used and explain the assumptions and also explain and also find the value of sample test statistic.

(iii)

To determine

To find: The P-value of the sample statistic and sketch the sampling distribution and show the area corresponding to the P-value.

(iv)

To determine

Whether we reject or fail to reject the null hypothesis and whether the data statistically significant at level $\alpha$.

(v)

To determine

To explain: The conclusion in the context of application.

(b)

To determine

To find: The 95% confidence interval for ${\mu }_1-{\mu }_2$.

(c)

To determine

To explain: The assumptions about the original populations.