MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Hi wonderful Bartleby team, I need help with this two final parts of the exercise of completing the sentence and the last part of it as well (both marked in red)
Sentense says:
( Yes, No )because the confidence interval contains(Only positives / Only Negatives / Zero )
![A study was conducted on the body temperatures of men and women. The table below displays the results. The two samples are independent simple random samples from normally distributed populations, and the population standard deviations are equal.
| | Men (μ₁) | Women (μ₂) |
|--------|-----------|------------|
| n | 11 | 59 |
| x̄ | 97.68°F | 97.35°F |
| s | 0.97°F | 0.71°F |
### Task a: Hypothesis Testing
Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women.
**Null and Alternative Hypotheses:**
- A: \( H_0: \mu_1 \geq \mu_2 \), \( H_1: \mu_1 < \mu_2 \)
- B: \( H_0: \mu_1 \neq \mu_2 \), \( H_1: \mu_1 < \mu_2 \)
- C: \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 \neq \mu_2 \)
- D: \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 > \mu_2 \)
**Chosen Hypotheses:**
- D: \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 > \mu_2 \)
**Test Statistic:**
- \( t \) = 1.33 (rounded to two decimal places)
**P-value:**
- 0.094 (rounded to three decimal places)
**Conclusion:**
- Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women.
### Task b: Confidence Interval
Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women.
- \( < \mu_1 - \mu_2 < \) (round to three decimal places)
**Does the confidence interval support the conclusion from the hypothesis test?**
- Choose the correct option: [Drop-down box]
(Note: The exact values for the confidence interval and the final decision on](https://content.bartleby.com/qna-images/question/22c22731-3858-419d-b4a1-f1d81ff5f2b6/082689eb-aeb0-4e5a-ada2-a62569507136/3xg1ksj_processed.jpeg)
Transcribed Image Text:A study was conducted on the body temperatures of men and women. The table below displays the results. The two samples are independent simple random samples from normally distributed populations, and the population standard deviations are equal.
| | Men (μ₁) | Women (μ₂) |
|--------|-----------|------------|
| n | 11 | 59 |
| x̄ | 97.68°F | 97.35°F |
| s | 0.97°F | 0.71°F |
### Task a: Hypothesis Testing
Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women.
**Null and Alternative Hypotheses:**
- A: \( H_0: \mu_1 \geq \mu_2 \), \( H_1: \mu_1 < \mu_2 \)
- B: \( H_0: \mu_1 \neq \mu_2 \), \( H_1: \mu_1 < \mu_2 \)
- C: \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 \neq \mu_2 \)
- D: \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 > \mu_2 \)
**Chosen Hypotheses:**
- D: \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 > \mu_2 \)
**Test Statistic:**
- \( t \) = 1.33 (rounded to two decimal places)
**P-value:**
- 0.094 (rounded to three decimal places)
**Conclusion:**
- Fail to reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women.
### Task b: Confidence Interval
Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women.
- \( < \mu_1 - \mu_2 < \) (round to three decimal places)
**Does the confidence interval support the conclusion from the hypothesis test?**
- Choose the correct option: [Drop-down box]
(Note: The exact values for the confidence interval and the final decision on
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