MATLAB: An Introduction with Applications
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Publisher: John Wiley & Sons Inc
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Hi wonderful Bartleby Team, I need help to find the answer and understand each part of this exercise. Thanks in advance.
![The table provides BMI statistics for random samples of men and women. It is assumed that the two samples are independent simple random samples from normally distributed populations, and the population standard deviations are not equal. Use a 0.05 significance level for testing.
**Sample Statistics:**
- **Male BMI**:
- Mean (\(\overline{x}\)): 28.3994
- Standard deviation (s): 7.554427
- Sample size (n): 43
- **Female BMI**:
- Mean (\(\overline{x}\)): 25.7349
- Standard deviation (s): 5.885518
- Sample size (n): 43
**Hypothesis Testing:**
a. **Test the claim that males and females have the same mean body mass index (BMI).**
**Null and Alternative Hypotheses Options:**
- **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.**
- \(H_0: \mu_1 = \mu_2\)
- \(H_1: \mu_1 > \mu_2\)
**Calculations:**
- **t-test statistic:** [Input required; round to two decimal places]
- **P-value:** [Input required; round to three decimal places]
**Conclusion Options:**
- **A.** Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
- **B.** Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
- **C.** Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
- **D.** Fail to reject the null hypothesis. There is not](https://content.bartleby.com/qna-images/question/22c22731-3858-419d-b4a1-f1d81ff5f2b6/5aeaffb7-c547-4c2a-a1a9-155f0f544e36/vwryrsb_processed.jpeg)
Transcribed Image Text:The table provides BMI statistics for random samples of men and women. It is assumed that the two samples are independent simple random samples from normally distributed populations, and the population standard deviations are not equal. Use a 0.05 significance level for testing.
**Sample Statistics:**
- **Male BMI**:
- Mean (\(\overline{x}\)): 28.3994
- Standard deviation (s): 7.554427
- Sample size (n): 43
- **Female BMI**:
- Mean (\(\overline{x}\)): 25.7349
- Standard deviation (s): 5.885518
- Sample size (n): 43
**Hypothesis Testing:**
a. **Test the claim that males and females have the same mean body mass index (BMI).**
**Null and Alternative Hypotheses Options:**
- **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.**
- \(H_0: \mu_1 = \mu_2\)
- \(H_1: \mu_1 > \mu_2\)
**Calculations:**
- **t-test statistic:** [Input required; round to two decimal places]
- **P-value:** [Input required; round to three decimal places]
**Conclusion Options:**
- **A.** Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
- **B.** Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
- **C.** Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that men and women have the same mean BMI.
- **D.** Fail to reject the null hypothesis. There is not
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