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 5.9 years. At α=0.03​, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 15 ​years? Complete parts​ (a) through​ (e).   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 5.9 years. At α=0.03​, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 15 ​years? Complete parts​ (a) through​ (e).     19.9 21.3 13.1 17.8 17.5 18.3 7.3 18.1   18.9 9.5 17.5 19.4 15.3 16.5 7.6 18.7   22.8 18.6 21.3 11.5 12.7 18.3 13.5 20.7   12.7 12.1 14.3 16.9 19.9 21.2 22.9 10.3   ​(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. 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 5.9 years. At α=0.03​, is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 15 ​years? Complete parts​ (a) through​ (e).     19.9 21.3 13.1 17.8 17.5 18.3 7.3 18.1   18.9 9.5 17.5 19.4 15.3 16.5 7.6 18.7   22.8 18.6 21.3 11.5 12.7 18.3 13.5 20.7   12.7 12.1 14.3 16.9 19.9 21.2 22.9 10.3   ​(a) Identify the claim and state the null hypothesis and alternative hypothesis.

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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

5.9

years. At

α=0.03​,

is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is

15

​years? Complete parts​ (a) through​ (e).

 

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
5.9
years. At
α=0.03​,
is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is
15
​years? Complete parts​ (a) through​ (e).
 
 
19.9
21.3
13.1
17.8
17.5
18.3
7.3
18.1
 
18.9
9.5
17.5
19.4
15.3
16.5
7.6
18.7
 
22.8
18.6
21.3
11.5
12.7
18.3
13.5
20.7
 
12.7
12.1
14.3
16.9
19.9
21.2
22.9
10.3
 
​(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.
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
5.9
years. At
α=0.03​,
is there enough evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is
15
​years? Complete parts​ (a) through​ (e).
 
 
19.9
21.3
13.1
17.8
17.5
18.3
7.3
18.1
 
18.9
9.5
17.5
19.4
15.3
16.5
7.6
18.7
 
22.8
18.6
21.3
11.5
12.7
18.3
13.5
20.7
 
12.7
12.1
14.3
16.9
19.9
21.2
22.9
10.3
 
​(a) Identify the claim and state the null hypothesis and alternative hypothesis.
 
 
A.
H0​:
μ≤15
​(claim)
Ha​:
μ>15
 
B.
H0​:
μ>15
​(claim)
Ha​:
μ≤15
 
C.
H0​:
μ=15
​(claim)
Ha​:
μ≠15
 
D.
H0​:
μ≠15
​(claim)
Ha​:
μ=15
 
E.
H0​:
μ>15
Ha​:
μ≤15
​(claim)
 
F.
H0​:
μ≥15
​(claim)
Ha​:
μ<15
​(b) Identify the standardized test statistic. Use technology.
 
z=nothing  
​(Round to two decimal places as​ needed.)
​(c) Find the​ P-value. Use technology.
 
P=nothing
​(Round to three decimal places as​ needed.)
​(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
3​%
level of significance.
 
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