Examine the following hypothesis test with n = 16, s = 7, and x = 26. H0: μ ≥ 32 HA: μ < 32 α = 0.005

a. State the decision rule in terms of the critical value of the test statistic.

b. State the calculated value of the test statistic.

c. State the conclusion.

a. State the decision rule. Select the correct choice below and fill in any answer boxes in your choice.

A. Reject the null hypothesis if the calculated value of the test statistic, t, is less than the critical value of ____. Otherwise, do not reject.

B. Reject the null hypothesis if the calculated value of the test statistic, t, is greater than the critical value of ____. Otherwise, do not reject.

C. Reject the null hypothesis if the calculated value of the test statistic, t, is less than the critical value of ___ or greater than the critical value of ___. Otherwise, do not reject.

b. State the calculated value of the test statistic. t = ___

c. State the conclusion. Choose the correct answer below.

A. Do not reject the null hypothesis. There is sufficient evidence that the mean is less than 32.

B. Do not reject the null hypothesis. There is not sufficient evidence that the mean is less than 32.

C. Reject the null hypothesis. There is not sufficient evidence that the mean is less than 32.

D. Reject the null hypothesis. There is sufficient evidence that the mean is less than 32.