MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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### 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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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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