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 5.1 years. At a = 0.06, is there enough evidence to reject the claim that smokers to quit smoking permanently is 13 years? Complete parts (a) through (e). 8.1 21.1 15.8 11.8 7.4 18.3 19.9 21.6 10.1 9.5 20.1 17.5 9.1 18.5 7.3 15.2 16.9 16.8 17.6 14.8 8.1 11.6 11.9 13.1 10.8 19.3 14.3 22.7 7.7 16.4 22.2 21.8 (a) Identify the claim and state the null hypothesis and alternative hypothesis. OA. Ho: ≥ 13 (claim) H₂H<13 O C. Ho: μ> 13 (claim) H₂ μs 13 OF. Ho: ≤13 (claim) H₂:μ> 13 OD. Ho: > 13 Haus 13 (claim) (b) Identify the standardized test statistic. Use technology. z = (Round to two decimal places as needed.) (c) Find the P-value. Use technology. OB. Ho: #13 (claim) H₂p=13 OE. Hop=13 (claim) Ha: #13

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question

69

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 5.1 years. At a = 0.06, 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).
8.1
21.1 15.8 11.8 16.9 16.8 17.6 14.8
7.4 18.3 19.9 21.6 8.1 11.6 11.9 13.1
10.1 9.5 20.1 17.5 10.8 19.3 14.3 22.7
9.1 18.5 7.3
15.2 7.7
16.4 22.2 21.8
(…)
(a) Identify the claim and state the null hypothesis and alternative hypothesis.
O A. Ho: μ≥ 13 (claim)
O B. Ho: μ#13 (claim)
H₂: μ = 13
O C. Ho: μ> 13 (claim)
Ha: μ≤13
Ha: μ< 13
O D. Ho: μ> 13
O E. Ho: μ13 (claim)
H₂H13
OF. Ho: u≤ 13 (claim)
Ha: μ> 13
Ha: μ≤ 13 (claim)
(b) Identify the standardized test statistic. Use technology.
Z= (Round to two decimal places as needed.)
(c) Find the P-value. Use technology.
P= (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 6% level of significance.
O A. Reject Ho. There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking
permanently is 13 years.
O B. Fail to reject Ho. There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking
permanently is 13 years.
O C. Reject Ho. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking
permanently is 13 years.
O D. Fail to reject Ho. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking
permanently is 13 years.
Transcribed Image Text: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 5.1 years. At a = 0.06, 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). 8.1 21.1 15.8 11.8 16.9 16.8 17.6 14.8 7.4 18.3 19.9 21.6 8.1 11.6 11.9 13.1 10.1 9.5 20.1 17.5 10.8 19.3 14.3 22.7 9.1 18.5 7.3 15.2 7.7 16.4 22.2 21.8 (…) (a) Identify the claim and state the null hypothesis and alternative hypothesis. O A. Ho: μ≥ 13 (claim) O B. Ho: μ#13 (claim) H₂: μ = 13 O C. Ho: μ> 13 (claim) Ha: μ≤13 Ha: μ< 13 O D. Ho: μ> 13 O E. Ho: μ13 (claim) H₂H13 OF. Ho: u≤ 13 (claim) Ha: μ> 13 Ha: μ≤ 13 (claim) (b) Identify the standardized test statistic. Use technology. Z= (Round to two decimal places as needed.) (c) Find the P-value. Use technology. P= (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 6% level of significance. O A. Reject Ho. There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years. O B. Fail to reject Ho. There is not sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years. O C. Reject Ho. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years. O D. Fail to reject Ho. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking permanently is 13 years.
Expert Solution
steps

Step by step

Solved in 5 steps

Blurred answer
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman