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. Complete parts (a) and (b) below. What are the null and alternative hypotheses? OA. Ho: H₁ H₂ H₁: H1 H₂ μ 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. n X S Men P₁ 11 97.67°F 0.94°F Women H₂ 59 97.27°F 0.62°F O A. Reject the null hypothesis. There is not sufficient evidence to support the claim that men have a higher mean body temperature than women. O B. Fail to reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. O C. 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. O D. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. b. Construct a confidence interval suitable for testing the claim that men have a higher mean body temperature than women

Data on the weights​ (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. 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. Use a 0.05   significance level for both parts.     Diet Regular   mu mu 1 mu 2 n 26 26 x overbar 0.79093   lb 0.81234   lb s 0.00433   lb 0.00753   lb       a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda.   What are the null and alternative​ hypotheses?     A. Upper H 0 ​: mu 1 equalsmu 2 Upper H 1 ​: mu 1 greater thanmu 2     B. Upper H 0 ​: mu 1 equalsmu 2 Upper H 1 ​: mu 1 less thanmu 2     C. Upper H 0…

Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. 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) to (c) below. Reduction in Pain Level After Magnet Treatment (μ₁): n = 15, x=0.45, s=1.02 Reduction in Pain Level After Sham Treatment (2): n = 15, x=0.38, s=1.55 a. Use a 0.01 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment (similar to a placebo). What are the null and alternative hypotheses? OA. Ho H1 H2 oc Hoi HH2 H₁: H1 H2 B. Ho: H1 H2 H₁₁₂ OD. Ho H1 H2 The test statistic, t, is (Round to two decimal places as needed.)

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. Complete parts​ (a) and​ (b) below. Use a 0.01 significance level for both parts. a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative​ hypotheses? What is the test​ statistic, t? What is the​ P-value? State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean.

Listed in the accompanying table are waiting times​ (seconds) of observed cars at a Delaware inspection station. The data from two waiting lines are real​ observations, and the data from the single waiting line are modeled from those real observations. 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). One Line Two Lines   64.1 733.6 64.3 865.2 157.2 605.8 215.8 1089.7 142.2 267.8 85.6 662.7 278.9 310.2 339.6 518.1 253.2 128.8 199.5 565.6 475.7 132.9 630.3 268.2 478.2 122.1 333.1 350.4 473.5 128.9 328.9 95.2 402.1 232.7 914.6 99.7 721.6 461.2 552.8 162.7 760.7 482.2 596.7 100.6 692.3 518.1     837.1 508.5     903.1 580.2

Researchers conducted a study to determine whether magnets are effective in treating back pain. Pain was measured using the visual analog​ scale, and the results shown below are among the results obtained in the study. Higher scores correspond to greater pain levels. 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) to​ (c) below.   Reduction in Pain Level After Magnet Treatment ​(μ1​): n=29​, x=0.58​, s=0.95 Reduction in Pain Level After Sham Treatment ​(μ2​): n=29​, x=0.48​, s=1.56       Question content area bottom Part 1 a. Use a 0.05 significance level to test the claim that those treated with magnets have a greater mean reduction in pain than those given a sham treatment​ (similar to a​ placebo).   What are the null and alternative​ hypotheses?     A. H0​: μ1≠μ2 H1​: μ1<μ2   B. H0​: μ1<μ2 H1​:…

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. State the conclusion for the test. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. μ n X S Men 11 11 97.53°F 0.76°F Women H₂ 59 97.46°F 0.69°F O A. 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. 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. OD. Reject the null hypothesis. There is sufficient evidence to support the claim…