Astudy 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 0.05 significance level for both parts.
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- below are the numbers of years that archbishops and monarchs in a certain country lived after their election o ation. Assume that the two samples are independent simple random samples selected from normally distribute ations. Do not assume that the population standard deviations are equal. Use a 0.05 significance level to test th e mean longevity for archbishops is less than the mean for monarchs after coronation. All measurements are lick the icon to view the table of longevities of archbishops and monarchs. Longevities of archbishops and monarchs 17 Archbishops 17 14 16 3. 16 18 12 13 9. 16 11 11 15 17 7 18 10 20 16 Monarchs 11 19 14 14 17 15 16 14 12 15 16 Print Done 454 65 115A 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 0.10 significance level for both parts Treatment Placebo μ μ1 μ2 n 28 32 x 2.35 2.61 s 0.95 0.66 What is the null and alternative hypotheses? The test statistic, t, is? The P-value is? Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean. ?<μ1−μ2<?During one season of racing at the Talladega Superspeedway, the mean speed of the cars racing there was found to be 158.900 mph with a standard deviation of 6.700 mph. What speed represents the 30th percentile for speeds of race cars at Talladega? Assume that the racing speeds are normally distributed. Use the cumulative normal distribution table to solve this problem. Enter the exact value for your answer.
- 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 0.05 significance level for both parts. Diet Regular H2 40 40 0.78244 lb 0.81852 lb 0.00435 lb 0.00752 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? B. Ho: H1 H2 O A. Ho: H1=42 H: P1A random sample of male college baseball players and a random sample of male college soccer players were obtained independently and weighed. The accompanying table shows the unstacked weights (in pounds). The distributions of both data sets suggest that the population distributions are roughly Normal. Determine whether the difference in means is significant, using a significance level of 0.05. Click the icon to view the data table. Let µBaseball be the population mean weight (in pounds) of male college baseball players and let uSoccer be the population mean weight (in pounds) of male college soccer players. Determine the hypotheses for this test. Ho: HBaseball - HSoccer %3D Ha: HBaseball- HSoccer + 0 Find the test statistic for this test. (Round to two decimal places as needed.)Researchers looked at the average number of hours of sleep per day in a group of 8 college professors. Calculate the range, standard deviaion, and variance, for the dataset below. X = {6, 6, 5, 7, 5, 4, 8, 5} a. range = 4 standard deviation (sample) = 1.28 variance (sample) = 1.64 b. range = 5 standard deviation (sample) = 5 variance (sample) = 5.5 c. range = 4 standard deviation (sample) = 1.28 variance (sample) = 1.28 d. range = 4 standard deviation (sample) = 1.64 variance (sample) = 1.28A 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 0.100.10 significance level for both parts. Treatment Placebo μ μ1 μ2 n 27 32 (overbar) x 2.35 2.65 s 0.92 0.57 Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? The test statistic, t, is _______ The P-value is _______ State the conclusion for the test? Construct a confidence interval suitable for testing the claim that the two samples are from populations with the same mean______ <μ1 − μ2 < ______Use Chebyshevs rule and the empirical rule to describe the distribution of this data set. Count the actual number of observations that fall within one, two, and three standard deviations of the mean if the data set and compare these counts with the description of the the data set I developed.A random sample of 33 professional baseball salaries from 1985 through 2015 was selected. The league of the player (American or National) was also recorded. Salary (in thousands of dollars) and league are shown in the accompanying table. Test the hypothesis that there is a difference in the mean salary of players in each league. Assume the distributions are Normal enough to use the t-test. Use a significance level of 0.05. Click the icon to view the data table. --..- Determine the hypotheses for this test. Let u, be the population mean salary of players in the American League and let pn be the population mean salary of players in the National League. Choose the correct answer below. O B. Ho: Ha = Hn O C. Ho: Ha = Hn Ha: Ha > Hn A. Ho: Ha = Hn. Ha: Ha + Hn Ha: Ha Hn Ha: Ha = Hn Ha: Ha = Hn Ha: Ha = Hn Find the test statistic for this test. t= (Round to two decimal places as needed.)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 Regular H2 27 27 0.79037 lb 0.80399 lb 0.00449 lb 0.00756 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? O A. Ho: H1 = H2 OB. Ho: H1#H2 Hq: HyWhat are the values for SS and variance for the following sample of n = 3 scores? Sample: 8, 5, 2This assignment is worth 1 points. The extra point will be added to your overall course grade. For example: if you receive an 88% in the course you can receive up to 1 point giving you a new score of 89%. The following rubric will be used. 0.25 point for drawing the normal distribution curve with the mean value labeled on the curve and the appropriate area shaded. 0.25 point for determining the value of the standard deviation of the sample mean. 0.5 point for finding the correct probability. All work must be shown in order to receive any credit. Please upload your completed assignment here. The length of time taken on the SAT for a group of students is normally distributed with a mean of 2.5 hours and a standard deviation of 0.25 hours. A sample size of n = 60 is drawn randomly from the population. Find the probability that the sample mean is between two hours and three hours.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. WallnauPublisher:Cengage LearningElementary Statistics: Picturing the World (7th E…StatisticsISBN:9780134683416Author:Ron Larson, Betsy FarberPublisher:PEARSONThe Basic Practice of StatisticsStatisticsISBN:9781319042578Author:David S. Moore, William I. Notz, Michael A. FlignerPublisher:W. H. FreemanIntroduction to the Practice of StatisticsStatisticsISBN:9781319013387Author:David S. Moore, George P. McCabe, Bruce A. CraigPublisher:W. H. 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