You may need to use the appropriateappendix tableortechnologyto 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 was17.1days.The standard deviation of thepopulation() is known to be5.6 days.

(a)State the null and alternative hypotheses (in days) for a test to determine if their advertisement is legitimate. (Enter != foras 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 rejectH₀. There is insufficient evidence to conclude that their advertisement is not legitimate.

-RejectH₀. There is sufficient evidence to conclude that their advertisement is not legitimate.

-RejectH₀. There is insufficient evidence to conclude that their advertisement is not legitimate.

-Do not rejectH₀. There is sufficient evidence to conclude that their advertisement is not legitimate.

(c)Using thep-value approach, test the hypotheses at the 5% level of significance.Find thep-value. (Round your answer to four decimal places.)p-value =

State your conclusion.

-Do not rejectH₀. There is insufficient evidence to conclude that their advertisement is not legitimate.

-RejectH₀. There is sufficient evidence to conclude that their advertisement is not legitimate.

-RejectH₀. There is insufficient evidence to conclude that their advertisement is not legitimate.

-Do not rejectH₀. There is sufficient evidence to conclude that their advertisement is not legitimate.