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O B. Ho: H1 H2 O A. Ho: H1242 D. Ho: H1 2 H: H > P2 OC. Ho: 1 =42 H: 1 42 The test statistic, t, is 1.29, (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.)

O B. Ho: H1 H2 O A. Ho: H1242 D. Ho: H1 2 H: H > P2 OC. Ho: 1 =42 H: 1 42 The test statistic, t, is 1.29, (Round to two decimal places as needed.) The P-value is . (Round to three decimal places as needed.)

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A study was conducted on body temperatures of men and women. The results are presented 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. Complete parts (a) and (b) below. **Table: Body Temperatures of Men and Women** | | Men (μ₁) | Women (μ₂) | |---------------|---------|-----------| | Sample Size (n) | 11 | 59 | | Mean (x̄) | 97.77°F | 97.43°F | | Standard Deviation (s) | 0.83°F | 0.61°F | Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. **Hypothesis Testing:** What are the null and alternative hypotheses? - **Option A:** \( H_0: \mu_1 \geq \mu_2 \) \( H_1: \mu_1 < \mu_2 \) - **Option B:** \( H_0: \mu_1 \neq \mu_2 \) \( H_1: \mu_1 < \mu_2 \) - **Option C:** \( H_0: \mu_1 = \mu_2 \) \( H_1: \mu_1 \neq \mu_2 \) - **Option D (Selected):** \( H_0: \mu_1 = \mu_2 \) \( H_1: \mu_1 > \mu_2 \) **Results:** - The test statistic \( t \) is **1.29**. (Round to two decimal places as needed.) - The P-value is **\[ \]**. (Round to three decimal places as needed.) This setup is used to determine if there is a statistically significant difference in mean body temperatures between men and women, with the claim being that men have a higher average body temperature.
Transcribed Image Text:A study was conducted on body temperatures of men and women. The results are presented 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. Complete parts (a) and (b) below. **Table: Body Temperatures of Men and Women** | | Men (μ₁) | Women (μ₂) | |---------------|---------|-----------| | Sample Size (n) | 11 | 59 | | Mean (x̄) | 97.77°F | 97.43°F | | Standard Deviation (s) | 0.83°F | 0.61°F | Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. **Hypothesis Testing:** What are the null and alternative hypotheses? - **Option A:** \( H_0: \mu_1 \geq \mu_2 \) \( H_1: \mu_1 < \mu_2 \) - **Option B:** \( H_0: \mu_1 \neq \mu_2 \) \( H_1: \mu_1 < \mu_2 \) - **Option C:** \( H_0: \mu_1 = \mu_2 \) \( H_1: \mu_1 \neq \mu_2 \) - **Option D (Selected):** \( H_0: \mu_1 = \mu_2 \) \( H_1: \mu_1 > \mu_2 \) **Results:** - The test statistic \( t \) is **1.29**. (Round to two decimal places as needed.) - The P-value is **\[ \]**. (Round to three decimal places as needed.) This setup is used to determine if there is a statistically significant difference in mean body temperatures between men and women, with the claim being that men have a higher average body temperature.
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