Fowle Marketing Research, Inc., bases charges to a client on the assumption that telephone surveys can be completed in a mean time of15minutesor less. If a longer mean survey time is necessary, a premium rate is charged. A sample of35 surveysfrom a particular client provided the survey times shown in the file named Fowle. Based upon past studies, the population standard deviation is assumed known with =4minutes. Is the premium rate justified for this client?

17	11	12	23	20	23	15
16	23	22	18	23	25	14
12	12	20	18	12	19	11
11	20	21	11	18	14	13
13	19	16	10	22	18	23

(a)Formulate the null and alternative hypotheses for this application.

H₀:< 15

H_a:15

H₀:= 15

H_a:15

H₀:> 15

H_a:15

H₀:15

H_a:< 15

H₀:15

H_a:> 15

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

(c)What is thep-value? (Round your answer to four decimal places.)p-value =

(d)At = 0.01, what is your conclusion?

- RejectH₀. There is sufficient evidence to conclude that the premium rate should be charged.

- Do not rejectH₀. There is sufficient evidence to conclude that the premium rate should be charged.

- Do not rejectH₀. There is insufficient evidence to conclude that the premium rate should be charged.

- RejectH₀. There is insufficient evidence to conclude that the premium rate should be charged.