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 6.7 years. At a = 0.01, is there enough evidence to reject the claim that t time it takes smokers to quit smoking permanently is 13 years? Complete parts (a) through (e). 9.1 17.1 14.2 11.9 8.7 19.3 21.7 21.8 13.4 16.1 20.5 9.2 20.2 9.5 19.6 18.3 12.3 16.9 9.6 9.4 16.1 14.3 7.6 21.6 18.5 15.7 10.5 16.9 14.5 21.5 10.2 10.6 A. Ho: ≤13 (claim) B. Ho: > 13 OC. Ho: >13 (claim) H₂:μ> 13 H₂:μ≤ 13 (claim) Hg: us 13 OD. Ho: 13 (claim) H₂:μ=13 O E. Ho: μ213 (claim) H₂H<13 ⒸF. Ho: μ=13 (claim) H₂: μ#13 (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 1% level of significance. OA. 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. OB. Reject Ho. There is not sufficient evidence to reject the claim that the mean time it takes smokers to qu permanently is 13 years. OC. 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. O D. Reject Ho. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit s permanently is 13 years.
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 6.7 years. At a = 0.01, is there enough evidence to reject the claim that t time it takes smokers to quit smoking permanently is 13 years? Complete parts (a) through (e). 9.1 17.1 14.2 11.9 8.7 19.3 21.7 21.8 13.4 16.1 20.5 9.2 20.2 9.5 19.6 18.3 12.3 16.9 9.6 9.4 16.1 14.3 7.6 21.6 18.5 15.7 10.5 16.9 14.5 21.5 10.2 10.6 A. Ho: ≤13 (claim) B. Ho: > 13 OC. Ho: >13 (claim) H₂:μ> 13 H₂:μ≤ 13 (claim) Hg: us 13 OD. Ho: 13 (claim) H₂:μ=13 O E. Ho: μ213 (claim) H₂H<13 ⒸF. Ho: μ=13 (claim) H₂: μ#13 (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 1% level of significance. OA. 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. OB. Reject Ho. There is not sufficient evidence to reject the claim that the mean time it takes smokers to qu permanently is 13 years. OC. 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. O D. Reject Ho. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit s permanently is 13 years.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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Transcribed Image Text:The lengths of time (in years) it took random sample of 32 former smokers to quit smoking permanently are listed. Assume the population standard deviation is 6.7 years. At x = 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).
17.1 14.2 11.9 8.7 19.3 21.7 21.8
9.1
13.4
16.1 20.5
12.3 16.9 9.6
18.5 15.7 10.5
9.2 20.2 9.5 19.6 18.3
9.4 16.1 14.3 7.6 21.6
16.9 14.5 21.5 10.2 10.6
A. Ho: μ≤13 (claim)
B. Ho: μ> 13
OC. Ho: μ> 13 (claim)
Ha:μ≤13
Ha:μ>13
Ha: μ≤13 (claim)
D. Ho: μ13 (claim)
O E. Ho: μ ≥ 13 (claim)
Ha: μ< 13
F. Ho: μ = 13 (claim)
Ha: μ#13
H₂:μ=
= 13
(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 1% level of significance.
A. 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.
B. 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.
C. 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.
D. Reject Ho. There is sufficient evidence to reject the claim that the mean time it takes smokers to quit smoking
permanently is 13 years.
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