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 X for both parts. Treatment Placebo H1 H2 In 31 40 2.35 2.66 0.67 0.95 ... O C. Ho: H1 = H2 H: H1> H2 'D. Ho: H1 =H2 H,: H1 # H2 The test statistic, t, is - 1.61. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.)
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- Listed below are the numbers of years that archbishops and monarchs in a certain country lived after their election or coronation. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Use a 0.05 significance level to test the claim that the mean longevity for archbishops is less than the mean for monarchs after coronation. All measurements are in years. E Click the icon to view the table of longevities of archbishops and monarchs. What are the null and alternative hypotheses? Assume that population 1 consists of the longevity of archbishops and population 2 consists of the longevity of monarchs. O A. Ho: H1 S 42 O B. Ho: H1 # H2 H1:H1>H2 O C. Ho: H1 = H2 H: Hq # H2 D. Ho: H1 = H2 H: 41Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. Refer to the accompanying data set. Use a 0.05 significance level to test the claim that the sample of home voltages and the sample of generator voltages are from populations with the same mean Click the icon to view the data for home voltages and generator voltages et p, be the population mean home voltage and let u, be the population mean generator voltage. What are the null and alternative hypotheses? OA H₂1₂ OB. HP P₂ H₂:₂₂ H₁ H₂ = 1/₂ OC. He #₂ H₁: My P₂ OD. H₂ HP₂ H₁: ₂₂ Calculate the test statistic 1-(Round to three decimal places as needed.) Find the P-value P-value (Round to four decimal places as needed) Make a conclusion about the null hypothesis and a final conclusion that addresses the original claim. YH, There mean. The deference sufficient evidence to warrant rejection of the claim that the…Could you please highlight the correct answer1-> 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. O H n 10-11-1₂ lb (Round to three decimal places as needed.) Does the confidence interval support the conclusion found with the hypothesis test? because the confidence interval contains X S Diet 14₁ 37 0.78901 lb 0.00432 lb Regular 1/2 37 0.80854 lb 0.00752 lb OD. Reject the null hypothesis. There is not sufficient evidence to support the claim that the cans of diet soda have mean weights that are lower than the mean weight for the regular soda. b. Construct a confidence interval appropriate for the hypothesis test in part (a).The accompanying table lists pulse rates. Use a 0.05 significance level and apply the methods of two-way analysis of variance. What is the conclusion? -.. State the null and alternative hypotheses in the test for the effect of an interaction between row and column factors. Ho: There H₁: There What is the value of the test statistic for this test? F = (Round to two decimal places as needed.) What is the corresponding P-value of the test statistic, F, for this test? P-value= (Round to three decimal places as needed.) State the conclusion of this test. Ho. There ▼ sufficient evidence to warrant rejection of the claim that pulse rates are not affected by an interaction between gender and age. There State the null and alternative hypotheses in the test for the effect from the row factor. O A. Ho: The row values are from populations with the same mean. H₁: At least one of the rows is sampled from a population with a mean different from the others. interaction between gender and age.…Regular Data on the weights (Ib) 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 0.01 significance level for both parts. Diet 25 0.79237 Ib 0.00433 Ib 25 0.80377 lb 0.00746 Ib 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? O B. Ho H=2 Hi H1> H2 O A. Ho H1 H2 O D. Ho H H2 C. Ho: H1=2 HData on the weights of the contents of cans of diet soda versus the contents of regular 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 0.5 significance level for both. 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? The test statistic, t, is: (round to two decimal places as needed)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 0.01 significance level for both parts. 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? OA. Ho: H₁ H₂ H₁: M₁ μ₂ OC. Ho: H₁ H₂ H₁: H₁Calculate SS, variance and standard deviation for the following population of N =5 scores: 2, 13, 4, 10, 6Words were displayed on a computer screen with background colors of red and blue. Results from scores on a test of word recall are given below. Use a 0.05 significance level to test the claim that the samples are from populations with the same standard deviation. Assume that both samples are independent simple random samples from populations having normal distributions. Does the background color appear to have an effect on the variation of word recall scores? n x s Red Background 35 15.86 5.95 Blue Background 37 12.11 5.43 What are the null and alternative hypotheses? what is the test statistic? (F =?) what is the P-value? does the background color appear to have an effect on the variation of word recall scores?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 u u1 u2 n 46 46 x 28. 4773 26. 3875 s 7. 618885 5. 488392The accompanying table lists distances (mm) between pupils of randomly selected U.S. Army personnel collected as part of a large reputable study. Results from two-way analysis of variance are also shown. Use the displayed results and use a 0.05 significance level. What do you conclude? Click the icon to view the data and two-way analysis of variance results. First test for an interaction between the two factors. Determine the null and alternative hypotheses. Choose the correct answer below. A. Ho: Distances between pupils are not affected by an interaction between gender and handedness. H₁: Distances between pupils are affected by an interaction between gender and handedness. B. Ho: Distances between pupils are not affected by gender. H₁: Distances between pupils are affected by gender. C. Ho: Distances between pupils are not affected by handedness. H₁: Distances between pupils are affected by handedness. D. Ho: Distances between pupils are affected by an interaction between gender and…SEE MORE QUESTIONSRecommended textbooks for youMATLAB: An Introduction with ApplicationsStatisticsISBN:9781119256830Author:Amos GilatPublisher:John Wiley & Sons IncProbability and Statistics for Engineering and th…StatisticsISBN:9781305251809Author:Jay L. DevorePublisher:Cengage LearningStatistics for The Behavioral Sciences (MindTap C…StatisticsISBN:9781305504912Author:Frederick J Gravetter, Larry B. 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