Examine the following hypothesis test with n = 17, x = 74.8, s = 6.7, and α = 0.005.
H0: μ ≤ 70
HA: μ > 70
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.
(Round to four decimal places as needed.)
A. Reject the null hypothesis if the calculated value of the test statistic, t, is greater than the critical value of. Otherwise, do not reject.
B. 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.
C. 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. State the calculated value of the test statistic.
t = (Round to three decimal places as needed.)
c. State the conclusion. Choose the correct answer below.
A. Do not reject the null hypothesis. There is not sufficient evidence that the mean is greater than 70.
B. Reject the null hypothesis. There is not sufficient evidence that the mean is greater than 70.
C. Reject the null hypothesis. There is sufficient evidence that the mean is greater than 70.
D. Do not reject the null hypothesis. There is sufficient evidence that the mean is greater than 70.
