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- The gas mileages (in miles per gallon) of 23 randomly selected sports cars are listed in the accompanying table. Assume the mileages are not normally distributed. Use the standard normal distribution or the t-distribution to construct a 95% confidence interval for the population mean. Justify your decision. If neither distribution can be used, explain why. Interpret the results. Click the icon to view the sports car gas mileages. gas mileages :2131172120241824252020292625221621252320222119 Let σ be the population standard deviation and let n be the sample size. Which distribution should be used to construct the confidence interval? ▼ be used to construct the confidence interval, sinceWhich samples show unequal variances? Use a = .10 in all tests. Show the critical values and degrees of freedom clearly and illustrate the decision rule. s1 = 10.2, n1 = 22, s2 = 6.4, n2 = 16, two-tailed test s1 = .89, n1 = 25, s2 = .67, n2 = 18, right tailed test s1 = 124, n1 = 12, s2 = 260, n2 = 10, left-tailed testHW10Q9
- The state of Connecticut claims that the average time on death row is 15 years. A random survey of 75 death row inmates revealed that the average length of time on death row is 17.8 years with a standard deviation of 6.8 years. Conduct a hypothesis to test the state of Connecticut's claim. Use 5% significance level. What type of test should be run? t-test of a mean z-test of a proportion The alternative hypothesis indicates a right-tailed test left-tailed test two-tailed test Calculate the p-value. Round to 4 decimal places. What is the decision? We fail to reject the claim that the average time on death row is 15 years We reject the claim that the average time on death row is 15 yearsDaily Driving The average number of miles a person drives per day is 24. A researcher wishes to see if people over age 60 drive less than 24 miles per day. She selects a random sample of 25 drivers over the age of 60 and finds that the mean number of miles driven is 23.4. The population standard deviation is 4.1 miles. At a = 0.01, is there sufficient evidence that those drivers over 60 years old drive less than 24 miles per day on average? Assume that the variable is normally distributed. Use the critical value method with tables. Part: 0 / 5 Part 1 of 5 State the hypotheses and identify the claim with the correct hypothesis. Ho: (Choose one) OPlease help. Aslo, is the first part's answer d? Thanks so muchThe mean annual salary for nurses is $65,000 with a standard deviation of $7,000. What is he probability that a randomly selected nurse has a salary less than $60,000? A random sample of 50 nurses is selected. What is the probability that the sample mean annual salary is less than $60,000?n engineer has designed a valve that will regulate water pressure on an automobile engine. The valve was tested on 160 engines and the mean pressure was 7.7 pounds/square inch (psi). Assume the population variance is 0.36. If the valve was designed to produce a mean pressure of 7.8 psi, is there sufficient evidence at the 0.01 level that the valve performs below the specifications? Step 2 of 3: Find the P-value for the hypothesis test. Round your answer to four decimal places.If you use a 0.05 level of significance in a two-tail hypothesis test, what decision will you make if ZSTAT = + 1.65? Click here to view page 1 of the cumulative standardized normal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. .... Determine the decision rule. Select the correct choice below and fill in the answer box(es) within your choice. (Round to two decimal places as needed.) O A. Reject H, if ZSTAT or ZSTAT> + O B. Reject H, if ZSTAT UTest 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.)24If you use a 0.05 level of significance in a two-tail hypothesis test, what decision will you make if ZSTAT = - 1.61? Click here to view page 1 of the cumulative standardized nomal distribution table. Click here to view page 2 of the cumulative standardized normal distribution table. choice. - Determine the decision rule. Select the correct choice below and fill in the answer box(es) within (Round to two decimal places as needed.) your O A. Reject Ho if ZSTAT - 0.0537 or ZSTAT + 0.6915 B. Reject Ho if ZgTAT OC. Reject HoSEE 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. 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