A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test to perform the required hypothesis test at the 1% significance level. x=32, s = 8, n = 32, Ho: μ = 30, H₂: μ> 30 The test statistic is t = (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) the null hypothesis. The data sufficient evidence to conclude that the mean is
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- A transportation agency would like to compare the average amount of time it takes passengers to pass through airport security at two locations during peak times. The following table summarizes in minutes the results of two random samples from each airport. Use the table to complete parts a through c. Sample mean Sample standard deviation Sample size Location 1 Location 2 14.5 11.6 5.9 4.6 22 Determine the null and alternative hypotheses for the test. Hoi Hi-H2 S 0 H₁ H₁ H₂ > 0 Calculate the appropriate test statistic and interpret the result. The test statistic is (Round to two decimal places as needed.) Because the test statistic 29 The critical value(s) is (are). (Round to two decimal places as needed. Use a comma to separate answers as needed.) b. Identify the p-value from part a and interpret the result. The p-value is (Round to three decimal places as needed.) Interpret the result. Choose the correct answer below. the null hypothesis. O A. Since the p-value is less than the…The accompanying data table lists the magnitudes of 50 earthquakes measured on the Richter scale. Test the claim that the population of earthquakes has a mean magnitude greater than 1.00. Use a 0.05 significance level. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, and conclusion for the test. Assume this is a simple random sample. A. Identify the test statistic. t equals (Round to two decimal places as needed.) B. Identify the P-value. The P-value is (Round to three decimal places as needed.)A sample mean, sample size, and sample standard deviation are provided below. Use the one-mean t-test to perform the required hypothesis test at the 10% significance level. x=25, s=10, n=24, H0: μ=24, Ha: μ>24 The P-value is=? less than 0.01. between 0.01 and 0.05. between 0.05 and 0.1. greater than 0.1.
- A two-sample hypothesis test is comparing the averages of the following populations. Population 1 is the salary of female employees and Population 2 is the salary of male employees. A hypothesis test was conducted to see if the average salary of males is greater than the average salary of females. Using the following as the output of the test, state the P-value and interpret the results in context to the problem. Use a significance level of 5% Mean Variance Observations Hypothesized Mean Difference df t Stat P(T<=t) one-tail t Critical one-tail P(T<=t) two-tail t Critical two-tail Females Males 65,852.00 89,562.00 1,003.00 1,025.00 45 30 0 37 -1.26 0.1200 1.3300 0.2400 1.2800 For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIUS Paragraph Arial 10pt EEVA V Tx XQ5 二 三 ||||| WORDS POWERED BY TINYuse the t- distribution and the sample results to complete the test of the hypothesis. use a 5% significance level. Assume the results come from a random sample , and if the sample size is small, assume the underlying distribution is relatively normal . H0: miu=4 vs Ha: miu not equal to 4 using the sample results x bar =4.8 s= 2.3 with n=15. WHAT IS THE P-VALUE?Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: H, =0; a= 0.05. Sample statistics: d = 3.2, s, =8.49, n= 9 Identify the null and alternative hypotheses. Choose the correct answer below. O A. Hg: Has0 O B. Ho: Hg #0 H: H >0 Hg: Hg =0 O C. Ho: Ha 0 H: Hg sO O E. Hg: Ha20 F. Hoi Ha =0 H: Hg #0 The test statistic is t= 1.13. (Round to two decimal places as needed.) The critical value(s) is(are) to =-2.31,2.31. (Round to two decimal places as needed. Use a comma to separate answers as needed.) Since the test statistic is the rejection region, V the null hypothesis. There V statistically significant evidence to reject the claim.
- We have provided a sample mean, sample standard deviation, and sample size. In each case, use the one-mean t-test to perform the required hypothesis test at the 5% significance level. x = 21, s = 4, n = 32, H0: μ = 22, Ha: μ<22A 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.)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. 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: Hq ZH₂ OC. Ho: H₁ H₂ H₁: Hy > H₂ The test statistic, t, is. (Round to two decimal places as needed.) (Round to three decimal places as needed.) The P-value is State the conclusion for the test. C... OB. Ho: H₁ H₂ H₁: Hy #H₂ OD. Ho: Hg #U2 H₁: HyPlease help. Aslo, is the first part's answer d? Thanks so muchA 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 H₂ H₁: H₁ H₂ OC. Ho: H₁ H¹/₂ H₁: H₁Test the claim below about the mean of the differences for a population of paired data at the level of significance a. Assume the samples are random and dependent, and the populations are normally distributed. Claim: 0 = 0 E. Ho: Hd 0 Ha: Hd s0 The test statistic is t= 1.43 . (Round to two decimal places as needed.) The critical value(s) is(are) to = (Round to two decimal places as needed. Use a comma to separate answers as needed.)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. 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