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 6.2 years. At α = 0.05, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 15 years?

(a) Identify the claim and state H₀ and H_a.

(b) Find the standardized test statistic z. If convenient, use technology.

(c) Find the P-value. If convenient, use technology.

(d) Decide whether to reject or fail to reject the null hypothesis.

(e) Interpret the decision in the context of the original claim.

Transcribed Image Text:

15.7 13.2 22.6 13.0 10.718.1 14.7 7.0 17.3 7.5 21.8 12.3 19.8 13.8 16.0 15.5 13.1 20.7 15.5 9.8 11.9 16.9 7.0 19.3 13.2 14.6 20.9 15.4 13.3 11.6 10.9 21.6