Use a  0.05 significance level to test the claim that men have a higher mean body temperature than women. a. What are the null and alternative hypotheses? The test​ statistic, t, is The​ P-value is   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

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​ (b) below. Use a 0.05 significance level for both parts.     Male BMI Female BMI   μ μ1 μ2 n 41 41 x 28.3981 26.4624 s 7.246507 5.820596 a. Test the claim that males and females have the same mean body mass index​ (BMI).   What are the null and alternative​ hypotheses?     A. H0​: μ1=μ2 H1​: μ1≠μ2   B. H0​: μ1≥μ2 H1​: μ1<μ2   C. H0​: μ1≠μ2 H1​: μ1<μ2   D. H0​: μ1=μ2 H1​: μ1>μ2     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.     A. Fail to reject the null…

Male BMI Female BMI se H2 47 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 (b) below. Use a 0.05 significance level for both parts. n 47 26.3343 27.3646 8.781948 se 5.636805 se What are the null and alternative hypotheses? se O B. Ho H1 = H2 H1 H1 #H2 O A. Ho H1 H2 H1: H1 H2 O D. H, H1 #H2 H1: H1 < H2 se The test statistic, t, is. (Round to two decimal places as needed.) se The P-value is (Round to three decimal places as needed.)

A study was done using a treatment group and a placebo group. 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 0.05 significance level for both parts.     Treatment Placebo   μ μ1 μ2 n 27 39 x 2.38 2.65 s 0.87 0.61 a. Test the claim that the two samples are from populations with the same mean.   What are the null and alternative​ hypotheses?     A. H0​: μ1≠μ2 H1​: μ1<μ2   B. H0​: μ1<μ2 H1​: μ1≥μ2   C. H0​: μ1=μ2 H1​: μ1>μ2   D. H0​: μ1=μ2 H1​: μ1≠μ2 Your answer is correct. The test​ statistic, t, is   ​(Round to two decimal places as​ needed.)

Choose the appropriate statistical test. When computing, be sure to round each answer as indicated. A dentist wonders if depression affects ratings of tooth pain. In the general population, using a scale of 1-10 with higher values indicating more pain, the average pain rating for patients with toothaches is 6.8. A sample of 30 patients that show high levels of depression have an average pain rating of 7.1 (variance 0.8). What should the dentist determine? 1. Calculate the estimated standard error. (round to 3 decimals). [st.error] 2. What is thet-obtained? (round to 3 decimals). 3. What is the t-cv? (exact value) 4. What is your conclusion? Only type "Reject" or Retain"

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…

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 H₁ 11 97.66°F 0.75°F Women H₂ 59 97.22°F 0.68°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 not sufficient evidence to support the claim that men have a higher mean body temperature than women. O C. Reject the null hypothesis. There is sufficient evidence to support the claim that men have a higher mean body temperature than women. O D. Fail to reject the null hypothesis. There is sufficient evidence to support the…

Need help with question b (the answer is not -0.64 ; 0.82)

I need help with this one please thank you