25. A reasearcher is conducting a hypothesis test with the following hypotheses: | H0. μ- 1200 H1: p> 1200 The sample size is 27, the standard deviation of the population is unknown, and the sample standard deviation is 120. What is the 1% critical value? O 2.376 O 2.473 O 2.479 O 2.576 2.771
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- To estimate u, the mean salary of full professors at American colleges and universities, you obtain the salaries of a random sample of 400 full professors. The sample mean is x = $73,220 and the sample standard deviation is s = $4400. Which of the following conditions is NOT required to construct a 90% confidence interval for u? Oa random 10n SN np 2 10 and n(1-p) 210 n2 30 or stated as normalSample of 40 sizes were taken from Group A and a sample of 39 sizes were taken from Group B. Group A had a sample average of 3.5 and Group B had a sample average of 3.9. Group A standard deviation is 1.1 and standard deviation of Group B is 1.9. Test to see if there is a statistically significant difference between the average sizes using a 5% level of significance. Which is the most logical conclusion: 1) There is not enough evidence to support that the mean sizes are different or 2) We reject the null hypothesis that there is no difference between the mean sizes? Why?16
- S - 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 0.01 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? OA. Ho: H₁ = 42₂ H₁: Hy > H₂ @ View an example Get more help. 2 C. Ho: H₁ = 4₂ H₁: Hy #4₂ The test statistic, t, is -1.32. (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) W S X command # 3 80 F3 E D с $ 4 a FA R F % 5 V FS T G 6 B MacBook Air & FG Y H & 7 N 8 41 F7 U J OB. Ho: 2 Η.: μη Σμη OD. Ho: H₁ H₂ H₁ H₁ H₂ * 8 M DII FO I ( 9 K DD F9 O < I ) O L command 4 F10 P . - : t ; Clear all option F11 { [ + ? 1 = 3CX5 Treatment Placebo H₂ 35 an Check answer…14 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 n 0.10 significance level for both parts. X 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 H₁: H₁ H₂ OC. Ho: H=H2 H₁: H₁ H₂ 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 e test. GELER OB. Ho: H1 H2 H₁: Hy > H₂ Treatment Placebo Hy 1/2 OD. Ho: H₁ H₂ H₁: Hyonsider the following hypothesis test: H 0: 50 H a: > 50 A sample of 70 is used and the population standard deviation is 9. Use the critical value approach to state your conclusion for each of the following sample results. Use = .05. a. With = 52.5, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50?SelectYesNoItem 2 b. With = 51, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50?SelectYesNoItem 4 c. With = 51.8, what is the value of the test statistic (to 2 decimals)? Can it be concluded that the population mean is greater than 50?SelectYesNoItem 6A 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. a. Use a 0.01 significance level to test the claim that men have a higher mean body temperature than women. What are the null and alternative hypotheses? A. Ho: M₁ = ₂ H₁: H₁ H₂ C. Ho: M₁ = H2 H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) B. Ho: H₁ H₂ H₁ H₁15. Construct the confidence interval for the population mean μ. c = 0.90, X = 9.1, a = 0.2, and n = 58 A 90% confidence interval for u is S (Round to two decimal places as needed.)When is it appropriate to use the pooled two-sample t-methods? Choose the correct answer below. O A. Use the pooled two-sample t-methods when the distribution of the difference in sample means is known to be skewed. O B. Use the pooled two-sample t-methods when the population standard deviations are known. O C. Use the pooled two-sample t-methods when the samples come from populations with different standard deviations. D. Use the pooled two-sample t-methods when the samples come from different populations with the same, or nearly the same, standard deviations.912. A random sample of 16 individuals finds a sample mean value of 32 and sample standard deviation of 12. What is the 90% confidence interval for the population mean? A random sample of 16 individuals finds a sample mean value of 32 and sample standard deviation of 12. What is the 90% confidence interval for the population mean? C. [27.06 , 36.94] B. [27.91 , 36.09] D. [25.40 , 38.60] A. [26.61 , 37.39] Previous QuestionPreviousNext QuestionNextA manager is interested in determining if the population standard deviation has dropped below 103. Based on a sample of n = 27 items selected randomly from the population, conduct the appropriate hypothesis test at a 0.10 significance level. The sample standard deviation is 69. O D. Họ: o = 103 HA:o # 103 State the decision rule. Select the correct choice below and, if necessary, fill in any answer boxes to complete your choice. (Round to four decimal places as needed.) O A. If the test statistic, x>x212 =, reject H, or if the test statistic, x x = reject Ho. Otherwise, do not reject Ho- OC. If the test statistic, xSEE 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. 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