The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed. Assume the population standard deviation is 5.2

years. At alpha =0.07, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 15 years? Complete parts (a) through (e).

9.6

9.4

15.9

21.6

21.5

8.5

12.4

13.5

10.7

9.6

21.7

22.7

19.6

21.6

16.6

13.3

15.1

21.7

15.7

20.1

14.5

22.4

20.1

19.1

11.4

14.6

10.5

8.3

21.5

18.5

21.7

8.8

(a) Identify the claim and state the null hypothesis and alternative hypothesis.

A.

Upper H 0: mu >15 (claim) Upper H Subscript a: mu < or =15

B.

Upper H 0: mu not =15 (claim) Upper H Subscript a: mu =15

C.

Upper H 0: mu < or =15 (claim) Upper H Subscript a: mu >15

D.

Upper H 0: mu =15 (claim) Upper H Subscript a: mu not =15Your answer is correct.

E.

Upper H 0: mu >15Upper H Subscript a: mu < or =15 (claim)

F.

Upper H 0: mu > or =15 (claim) Upper H Subscript a: mu <15

(b) Identify the standardized test statistic. Use technology.

z=

(Round to two decimal places as needed.)

P=