The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed.
11.8 14.4 10.8 10.4 16.2 20.5 12.6 10.4 19.5 14.2 12.8 17.6 15.9 21.2 18.4 22.9 7.9 11.4 9.5 17.2 14.5 21.7 16.8 12.9 8.9 16.3 21.3 13.6 17.4 13.7 7.8 19.8
Assume the population standard deviation is 6.6 years. At α=0.09, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 14 years? Complete parts (a) through (e).
(a) Identify the claim and state the null hypothesis and alternative hypothesis.
(b) Identify the standardized test statistic. Use technology.
(c) Find the P-value. Use technology.
(d) 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.
