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.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:### Hypothesis Testing: Mean Time to Quit Smoking Permanently
**Scenario:**
The lengths of time (in years) it took a random sample of 32 former smokers to quit smoking permanently are listed below. Assume the population standard deviation is 6.7 years. At \(\alpha = 0.01\), 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).
**Sample Data:**
```
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) Formulate the Hypotheses
- \(\text{Option A: } H_0: \mu \le 13\) (claim), \(H_a: \mu > 13\)
- \(\text{Option B: } H_0: \mu \ge 13\), \(H_a: \mu < 13\)
- \(\text{Option C: } H_0: \mu > 13\) (claim), \(H_a: \mu \le 13\)
- \(\text{Option D: } H_0: \mu \neq 13\) (claim), \(H_a: \mu = 13\)
- \(\text{Option E: } H_0: \mu = 13\), \(H_a: \mu \neq 13\)
- \(\text{Option F: } H_0: \mu = 13\) (claim), \(H_a: \mu \neq 13\)
**Select:**
- **\[ \circle options "A" to "E" and then
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