Question

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 alphaequals0.01​, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 ​years? Complete parts​ (a) through​ (e). 15.1 22.3 11.8 8.4 8.3 16.1 22.5 14.4 22.4 21.4 22.1 8.1 15.6 19.6 11.8 17.1 13.8 7.8 14.4 16.1 9.2 18.1 7.9 19.1 9.3 7.8 20.2 19.9 7.5 13.8 10.1 14.7 ​(a) Identify the claim and state the null hypothesis and alternative hypothesis. A. Upper H 0​: muequals13 ​(claim) Upper H Subscript a​: munot equals13 Your answer is correct.B. Upper H 0​: mugreater than or equals13 ​(claim) Upper H Subscript a​: muless than13 C. Upper H 0​: munot equals13 ​(claim) Upper H Subscript a​: muequals13 D. Upper H 0​: muless than or equals13 ​(claim) Upper H Subscript a​: mugreater than13 E. Upper H 0​: mugreater than13 Upper H Subscript a​: muless than or equals13 ​(claim) F. Upper H 0​: mugreater than13 ​(claim) Upper H Subscript a​: muless than or equals13 ​(b) Identify the standardized test statistic. Use technology.

Answer 1

Following is the output of descriptive statistics:

Descriptive statistics
	X
count	32
mean	14.584
sample standard deviation	5.133
sample variance	26.345
minimum	7.5
maximum	22.5
range	15