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

5.6

years. At

alpha=0.060.,

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).

yea Complete parts​ (a) through​ (e).

20.520.5	12.712.7	12.112.1	19.219.2	10.210.2	11.311.3	10.110.1	14.814.8
18.218.2	10.310.3	12.112.1	7.47.4	9.49.4	17.317.3	22.222.2	14.914.9
21.721.7	21.221.2	7.47.4	15.215.2	8.98.9	13.913.9	17.117.1	19.419.4
13.213.2	14.814.8	15.215.2	9.59.5	16.416.4	21.621.6	19.319.3	12.312.3

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

Answer 1

given data and some necessary calculations are:-

sample size(n) = 32

population sd () = 5.6

sample mean be:-

here as the populations d is known and the sample size is =32 >30, we will do 1 sample Z test for mean.

hypothesis:-

our claim is the null hypothesis, that is the mean time it takes smokers to quit smoking permanently is 13 years.

test statistic be:-

p value be:-

[ in any blank cell of excel type =NORMSDIST(1.698) press enter ]

decision:-

p value = 0.0895 >0.06 (alpha)

so, we fail to reject the null hypothesis.

conclusion:-

there is not enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years at 0.06 level of significance.

*** if you have any doubt regarding the problem please write it in the comment box.if you are satisfied please give me a LIKE if possible..