Consider the following hypothesis test with n equals 14, s equals 6.9, and x-bar equals 63.8.
H0: μ equals 60
HA: μ not equals 60
α equals 0.10
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 the answer box(es) to complete your choice. (Round to two decimal places as needed.)
A. Reject the null hypothesis if the calculated value of the test statistic is less than the critical value. Otherwise, do not reject.
B. Reject the null hypothesis if the calculated value of the test statistic is greater than the critical value. Otherwise, do not reject.
C. Reject the null hypothesis if the calculated value of the test statistic is less than the critical value or greater than the critical value. Otherwise, do not reject.
b. State the calculated value of the test statistic. z or t equals ? (Round to two decimal places as needed.)
c. State the conclusion. Choose the correct answer below.
A. Do not reject the null hypothesis. There is sufficient evidence that the mean is not equal to 60.
B. Reject the null hypothesis. There is not sufficient evidence that the mean is not equal to 60.
C. Do not reject the null hypothesis. There is not sufficient evidence that the mean is not equal to 60.
D. Reject the null hypothesis. There is sufficient evidence that the mean is not equal to 60.
Consider the following hypothesis test. Given that n equals 85, σ equals 9, x-bar equals 46.6, and α equals 0.10, complete parts a through d below.
H0: μ less than or equals 45
HA: μ greater than 45
a. State the decision rule in terms of the critical value(s) of the test statistic.
Reject the null hypothesis if the calculated value of the test statistic, t or z, is equal to or less than the critical value(s). Otherwise, do not reject the null hypothesis. (Round to two decimal places as needed. Use a comma to separate answers as needed.)
b. State the calculated value of the test statistic.
t or z equals (Round to two decimal places as needed.)
c. State the appropriate p-value.
p-value equals (Round to three decimal places as needed.)
d. State the conclusion.
Reject the null hypothesis.
Do not reject the null hypothesis.
There is sufficient evidence at α equals 0.10 to conclude the population mean is less than, equal to, or greater than 45.
