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 independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Compiete parts (a) and (b) below. 11 97.56 F 0.86 F 59 97.48 F 0 67 F a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? O A. Ho P12 H2 OB. Ho H1 P2 OC. Ho H = H2 O D. Ho H = 42 H, H2

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Q4-Hi Bartleby team, I'm struggling with this general topic so please provide an answer and a short explanation for all the part of the exercise. Thanks in advance.

### Study on Body Temperatures of Men and Women

A study was conducted to compare the body temperatures of men and women. The results are outlined in the table below. It is assumed that the two samples are independent random samples selected from normally distributed populations, with equal standard deviations. The task requires completion of the sections labeled (a) and (b).

#### Table of Results

|         | Men (\(\mu_1\)) | Women (\(\mu_2\)) |
|---------|-----------------|------------------|
| n       | 11              | 59               |
| \(\bar{x}\) | 97.56°F        | 97.48°F          |
| s       | 0.86°F          | 0.67°F           |

---

**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. \(H_0: \mu_1 \leq \mu_2\); \(H_1: \mu_1 < \mu_2\)
- 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. \(H_0: \mu_1 = \mu_2\); \(H_1: \mu_1 > \mu_2\)

**Calculated Values:**
- The test statistic, \(t\), is \(\_\_\_\_\_\_\_\). (Round to two decimal places as needed.)
- The P-value is \(\_\_\_\_\_\_\_\). (Round to three decimal places as needed.)

**Conclusion for the Test:**
- A. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women.
- B. 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.
- C. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women.
- D. Fail to reject the null hypothesis
Transcribed Image Text:### Study on Body Temperatures of Men and Women A study was conducted to compare the body temperatures of men and women. The results are outlined in the table below. It is assumed that the two samples are independent random samples selected from normally distributed populations, with equal standard deviations. The task requires completion of the sections labeled (a) and (b). #### Table of Results | | Men (\(\mu_1\)) | Women (\(\mu_2\)) | |---------|-----------------|------------------| | n | 11 | 59 | | \(\bar{x}\) | 97.56°F | 97.48°F | | s | 0.86°F | 0.67°F | --- **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. \(H_0: \mu_1 \leq \mu_2\); \(H_1: \mu_1 < \mu_2\) - 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. \(H_0: \mu_1 = \mu_2\); \(H_1: \mu_1 > \mu_2\) **Calculated Values:** - The test statistic, \(t\), is \(\_\_\_\_\_\_\_\). (Round to two decimal places as needed.) - The P-value is \(\_\_\_\_\_\_\_\). (Round to three decimal places as needed.) **Conclusion for the Test:** - A. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. - B. 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. - C. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. - D. Fail to reject the null hypothesis
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