he 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 6.1 years. At alphaαequals=0.01​, 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).     18.4 16.7 11.1 15.8 18.8 21.8 21.8 14.8   14.8 9.7 15.8 9.9 9.9 7.6 22.5 14.1   22.2 14.4 13.6 7.5 9.2 20.7 12.7 8.3   16.1 13.1 22.9 13.2 16.1 12.4 12.6 14.1   ​(a) Identify the claim and state the null hypothesis and alternative hypothesis.     A. Upper H0​: mu equals=13 ​(claim) Upper Ha​: mu not equals≠13   B. Upper H0​: mu greater than or equals≥13 ​(claim) Upper Ha​: mu less than<13   C. Upper H0​: mu not equals≠13 ​(claim) Upper Ha​:  mu equals=13   D. Upper H0​: mu greater than>13 ​(claim) Upper Ha​: mu less than or equals≤13   E. Upper H0​: mu less than or equals≤13 ​(claim) Upper Ha​: mu Greater than>13   F. Upper H0​: mu greater than>13 Upper Ha​: muμless than or equals≤13 ​(claim) ​(b) Identify the standardized test statistic. Use technology.   zequals=(Blank)   ​(Round to two decimal places as​ needed.) ​ (c) Find the​ P-value. Use technology.   Pequals=(Blank) ​(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 11​% level of significance.   A. Fail to reject Upper H0. There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.   B. Fail to reject  Upper H0. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.   C. Reject Upper H0. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.   D. Reject Upper H0. There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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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
6.1
years. At
alphaαequals=0.01​,
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).
 
 
18.4
16.7
11.1
15.8
18.8
21.8
21.8
14.8
 
14.8
9.7
15.8
9.9
9.9
7.6
22.5
14.1
 
22.2
14.4
13.6
7.5
9.2
20.7
12.7
8.3
 
16.1
13.1
22.9
13.2
16.1
12.4
12.6
14.1
 
​(a) Identify the claim and state the null hypothesis and alternative hypothesis.
 
 
A.
Upper H0​:
mu equals=13
​(claim)
Upper Ha​:
mu not equals≠13
 
B.
Upper H0​:
mu greater than or equals≥13
​(claim)
Upper Ha​:
mu less than<13
 
C.
Upper H0​:
mu not equals≠13
​(claim)
Upper Ha​: 
mu equals=13
 
D.
Upper H0​:
mu greater than>13
​(claim)
Upper Ha​:
mu less than or equals≤13
 
E.
Upper H0​:
mu less than or equals≤13
​(claim)
Upper Ha​:
mu Greater than>13
 
F.
Upper H0​:
mu greater than>13
Upper Ha​:
muμless than or equals≤13
​(claim)
​(b) Identify the standardized test statistic. Use technology.
 
zequals=(Blank)  
​(Round to two decimal places as​ needed.)
(c) Find the​ P-value. Use technology.
 
Pequals=(Blank)
​(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
11​%
level of significance.
 
A.
Fail to reject
Upper H0.
There
is not
sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is
13
years.
 
B.
Fail to reject 
Upper H0.
There
is
sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is
13
years.
 
C.
Reject
Upper H0.
There
is
sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is
13
years.
 
D.
Reject
Upper H0.
There
is not
sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is
13
years.
 
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