Expected value b Variance c Standard Deviation
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a Expected value
b Variance
c Standard Deviation
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- Treatment Sham Researchers conducted a study to determine whether magnets are effective in treating back pain. The results are shown in the table for the treatment (with magnets) group and the sham (or placebo) group. The results are a measure of reduction in back pain. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard H1 H2 23 23 deviations are equal. Complete parts (a) and (b) below. 0.57 0.39 0.62 1.29 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. What are the null and alternative hypotheses? O A. Ho: H1 =H2 O B. Ho: H1 H2 H1: H1Treatment Placebo 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 0.10 significance level for both parts. H1 H2 In 34 31 2.39 2.68 S 0.62 0.98 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O B. Ho: H1 H2 OC. Ho: H1 =H2 O D. Ho: H1 H2 H1: H1Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 10.8 minutes and a standard deviation of 1.9 minutes. For a randomly received emergency call, find the following probabilities. (For each answer, enter a number. Round your answers to four decimal places.) (a) the response time is between 7 and 12 minutes (b) the response time is less than 7 minutes (c) the response time is more than 12 minutesPolice response time to an emergency call is the difference between the time the call is first received by the dispatcher and the time a patrol car radios that it has arrived at the scene. Over a long period of time, it has been determined that the police response time has a normal distribution with a mean of 8.4 minutes and a standard deviation of 1.7 minutes. For a randomly received emergency call, find the following probabilities. (For each answer, enter a number. Round your answers to four decimal places.) (a) the response time is between 5 and 10 minutes (b) the response time is less than 5 minutes (c) the response time is more than 10 minutesTreatment Placebo P2 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. 33 30 2.35 2.67 0.61 0.95 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? O A. Ho: H1 H2 O B. Ho: H1 H2Treatment Placebo 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 0.10 significance level for both parts. P2 27 30 2.39 2.67 0.92 0.65 a. Test the claim that the two samples are from populations with the same mean. What are the null and alternative hypotheses? |OA Ho H1 H2 O B. Ho H1 Hz 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. O A. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. O B. Reject the null hypothesis. There is not sufficient evidence to warrant rejection of the claim that the…using table in pictureWhat is the variance of the number of student absent each day ?STATISTICAL ANALYSIS (No long explanation needed. Rate will be given and write the complete solutions.) Choose the correct answer. CI on the Mean, Variance Known a. The probabilities increase as n increase. As n increases, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance increases. b. The probabilities decrease as n increase. As n increase, the sample variances should approach the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases c. The probabilities decrease as n increase. As n increases, the sample variances should deviate the population variance. Therefore, the likelihood of obtaining a sample variance greater or smaller than the population variance decreases d. The probabilities increase as n increase. As n increases, the sample variances should approach the population variance.…Treatment Placebo 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. H1 H2 n 26 34 2.32 2.66 0.61 0.99 "TPL P2 OC. Ho: H1 H2 The test statistic, t, is -1.64. (Round to two decimal places as needed.) The P-value is 0.107. (Round to three decimal places as needed.) State the conclusion for the test. A. Reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. B. Fail to reject the null hypothesis. There is sufficient evidence to warrant rejection of the claim that the two samples are from populations with the same mean. C. Fail to reject the null hypothesis. There is not sufficient evidence…Fill in the blankDetermine the probability P (3) for a binomial experiment with n=8 trials and the success probability p=0.3. Then find the mean, variance, and standard deviation. Part 1 of 3 Determine the probability p(3). Round the answer to at least three decimal places. P(3)-O Part 2 of 3 Find the mean. If necessary, round the answer to two decimal places. The mean is Part 3 of 3 Find the variance and standard deviation. If necessary, round the variance to two decimal places and standard deviation to at least three decimal places. The variance is The standard deviation isRecommended 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. FreemanMATLAB: 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. Freeman