Chapter 8.2, Problem 26P

(a)

To determine

Construct a $1-\alpha$ confidence interval for $\mu$ from the sample data.

Find the value of $\mu$ in the null hypothesis.

Identify whether the value of $\mu$ is in the confidence interval not.

Check whether the null hypothesis is rejecting or fail to reject by using the confidence interval method.

(b)

To determine

Find the P-value for the test.

Check whether the null hypothesis is rejecting or fail to reject.

Compare the results with the part (a).