Men Women A study was done on body temperatures of men and women. The results are shown in the table. Assume that the two samples are u ndependent simple random samples selected from normally distributed populations, and do not assume that the population tandard deviations are equal. Complete parts (a) and (b) below. H1 H2 59 97.35 F 0.71 F in 11 97.68°F 0.97 F ...... . Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. Vhat are the null and alternative hypotheses? DA. Ho: H1 2H2 O B. Ho: H1 H2 OC. Ho: H1 = H2 H1: H1 # H2 O D. Ho: H1 = 2 H1: 41 > 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 conclusion for the test. OA. 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. OB. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. OC. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O D. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women.

MATLAB: An Introduction with Applications
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Hi wonderful Bartleby team, I need help with this exercise, please provide answer and short explanation for all the answers. Thanks in advance.

The image presents a statistical study on the body temperatures of men and women, with results in the accompanying table. The study assumes two samples as independent and normally distributed populations without equal standard deviations. The task is to complete parts (a) and (b) below.

**Table Data:**
- Men:
  - \( \mu \): \( \mu_1 \)
  - \( n \): 11
  - \( \bar{x} \): 97.68°F
  - \( s \): 0.97°F

- Women:
  - \( \mu \): \( \mu_2 \)
  - \( n \): 59
  - \( \bar{x} \): 97.35°F
  - \( s \): 0.71°F

**Part (a) Instructions:**
Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women.

**Hypotheses Options:**
- A. \( H_0: \mu_1 \ge \mu_2 \), \( H_1: \mu_1 < \mu_2 \)
- B. \( H_0: \mu_1 \ne \mu_2 \), \( H_1: \mu_1 < \mu_2 \)
- C. \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 \ne \mu_2 \)
- D. \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 > \mu_2 \)

**Calculation:**
- The test statistic \( t \) is (blank space for entry), to be rounded to two decimal places.
- The P-value is (blank space for entry), to be rounded to three decimal places.

**Conclusion Options:**
- A. Fail to reject the null hypothesis. Insufficient evidence to support the claim that men have a higher mean body temperature than women.
- B. Fail to reject the null hypothesis. Insufficient evidence to suggest men have a higher mean body temperature than women.
- C. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women.
- D. Reject the null hypothesis. Sufficient evidence to support the claim men have a higher mean body temperature than women
Transcribed Image Text:The image presents a statistical study on the body temperatures of men and women, with results in the accompanying table. The study assumes two samples as independent and normally distributed populations without equal standard deviations. The task is to complete parts (a) and (b) below. **Table Data:** - Men: - \( \mu \): \( \mu_1 \) - \( n \): 11 - \( \bar{x} \): 97.68°F - \( s \): 0.97°F - Women: - \( \mu \): \( \mu_2 \) - \( n \): 59 - \( \bar{x} \): 97.35°F - \( s \): 0.71°F **Part (a) Instructions:** Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. **Hypotheses Options:** - A. \( H_0: \mu_1 \ge \mu_2 \), \( H_1: \mu_1 < \mu_2 \) - B. \( H_0: \mu_1 \ne \mu_2 \), \( H_1: \mu_1 < \mu_2 \) - C. \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 \ne \mu_2 \) - D. \( H_0: \mu_1 = \mu_2 \), \( H_1: \mu_1 > \mu_2 \) **Calculation:** - The test statistic \( t \) is (blank space for entry), to be rounded to two decimal places. - The P-value is (blank space for entry), to be rounded to three decimal places. **Conclusion Options:** - A. Fail to reject the null hypothesis. Insufficient evidence to support the claim that men have a higher mean body temperature than women. - B. Fail to reject the null hypothesis. Insufficient evidence to suggest men have a higher mean body temperature than women. - C. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. - D. Reject the null hypothesis. Sufficient evidence to support the claim men have a higher mean body temperature than women
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