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=0.1, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years?

13.8 15.1 10.9 20.6 12.4 11.7 20.4 7.8 17.7 8.5 9.8 10.9 13.5 22.6 22.4 19.8 16.8 19.9 17.1 13.6 12.9 9.6 18.8 14.2 15.2 19.6 22.4 22.4 11.3 16.7 20.5 17.4

1) Identify the claim and state the null hypothesis and alternative hypothesis. ???

2)(b) Identify the standardized test statistic. Z=????

3)(c) Find the P-value. Use technology. P=???

(4) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim at the 10% level of significance.

a)Reject H 0. There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.

b)Fail to reject H 0. There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.

c)Reject H 0. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.

d)Fail to reject H 0. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.