You may need to use the appropriate appendix table or technology to answer this question.

A carpet company advertises that it will deliver your carpet within 16 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 17.1 days. The standard deviation of the population () is known to be 5.6 days.(a)State the null and alternative hypotheses (in days) for a test to determine if their advertisement is legitimate. (Enter != for as needed.)

H₀:

H_a:

(b)Using the critical value approach, test the hypotheses. Let = 0.05.

Compute the test statistic. (Round your answer to two decimal places.)

Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.)

test statistic

test statistic

State your conclusion.

-Do not reject H₀. There is insufficient evidence to conclude that their advertisement is not legitimate.

-Reject H₀. There is sufficient evidence to conclude that their advertisement is not legitimate.

-Reject H₀. There is insufficient evidence to conclude that their advertisement is not legitimate.

-Do not reject H₀. There is sufficient evidence to conclude that their advertisement is not legitimate.

(c)Using the p-value approach, test the hypotheses at the 5% level of significance.

Find the p-value. (Round your answer to four decimal places.)

p-value =

State your conclusion.

-Do not reject H₀. There is insufficient evidence to conclude that their advertisement is not legitimate.

-Reject H₀. There is sufficient evidence to conclude that their advertisement is not legitimate.

-Reject H₀. There is insufficient evidence to conclude that their advertisement is not legitimate.

-Do not reject H₀. There is sufficient evidence to conclude that their advertisement is not legitimate.