Male BMI Female BMI Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and n (b) below. Use a 0.05 significance level for both parts. H2 43 28.3994 7.554427 43 25.7349 5.885518 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? O B. Ho H1 P2 O A. H9: H1 2H2 H H1 H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conciusion for the test.
Male BMI Female BMI Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and n (b) below. Use a 0.05 significance level for both parts. H2 43 28.3994 7.554427 43 25.7349 5.885518 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? O B. Ho H1 P2 O A. H9: H1 2H2 H H1 H2 The test statistic, t, is (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) State the conciusion for the test.
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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![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F22c22731-3858-419d-b4a1-f1d81ff5f2b6%2F5aeaffb7-c547-4c2a-a1a9-155f0f544e36%2Fvwryrsb_processed.jpeg&w=3840&q=75)
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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