1.If you use a 0.05 level of significance in a twotail hypothesis test, what decision will you make if ZSTAT= 1.68? 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.) A.Reject H0 ZSTAT< . B.Reject H0 if ZSTAT > . C.Reject H0 l< ZSTAT < D.Reject H0 if ZSTAT < . or ZSTAT > + . 2.What is the pvalue if, in a twotail hypothesis test, ZSTAT=1.98? Pvalue= (Round to four decimal places as needed.) 3.Suppose the defendant in a particular judicial system is presumed guilty until proven innocent. What are the null and alternative hypotheses? What are the meanings of the risks of committing either a Type I or Type II error? State the null and alternative hypotheses. H0: The defendant is guilty or innocent H1: The defendant is guilty or innocent 4.As a result of complaints from Customers about delivery times commaabout delivery times, the Manager at a pizza delivery service pizza delivery service is ready to undertake a study to determine the averagethe average delivery time. delivery time. Until now, the Manager has believed the delivery time was the delivery time was 20 minutes. What are the null and alternative hypotheses? H0: X, , , s, , or = or H1: s, , X, , , or = or 5.The qualitycontrol manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7500 hours. The population standard deviation is 1,200 hours. A random sample of 64 light bulbs indicates a sample mean life of 7,290 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7500 hours? b. Compute the pvalue and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach? e. Compare the results of parts (a) through (d) to those when the standard deviation is 800 hours. a. Let be the population mean. Determine the null hypothesis, H0, and the alternative hypothesis, H1. H0: , =, , or H1: , =, , or 6.If, in a sample of N = 25 selected from a normal population, X=57 and S=10, what is the value of tSTAT if you are testing the null hypothesis Upper H 0 : mu equals 50 question mark H 0: =50? tSTAT = (Type an integer or a decimal.) 7.If, in a sample of n=124 selected from a leftskewed population, X=68 and S=22, would you use the t test to test the null hypothesis H0: =63? Choose the correct answer below. A.Yes, you would use the t test because the sample size is less than 30 and this population size allows for the Central Limit Theorem to take effect. B.No, you would not use the t test because the sample size is less than 30 and the populationthe population is left dash skewed.is left-skewed. C.No, you would not use the t test because the sample size is at least 30 and the population is left skewed. D.Yes, you would use the t test because the sample size is at least 30 and this population size allows for the Central Limit Theorem to take effect. 8.A marketing researcher wants to estimate the mean savings ($) realized by shoppers who showroom. Showrooming is the practice of inspecting products in retail stores and then purchasing the products online at a lower price. A random sample of 130 shoppers who recently purchased a consumer electronics item online after making a visit to a retail store yielded a mean savings of $58 and a standard deviation of $56. Complete parts (a) and (b) below. a. Is there evidence that the population mean savings for all showroomers who purchased a consumer electronics item is different from $48? (Use a 0.01 level of significance.) State the null and alternative hypotheses. H0: >, <, , , =, or H1: >, <, , , =, or (Type integers or decimals. Do not round. Do not include the $ symbol in your answer.) 9.If, in a onetail hypothesis test, the pvalue= 0.0352, what is the statistical decision if the null hypothesis is tested at the 0.05 level of significance? What is the statistical decision? A.Since the pvalue is less than =0.05, reject H0. B.Since the pvalue is greater than or equal to greater than or equal to =0.05, do not reject H0. C.Since the pvalue is greater than or equal to greater than or equal to =0.05, Reject H0. D. Since the pvalue is less than =0.05, do not reject H0. 10.For a onetailed hypothesis test the critical value is 2.485. What is your statistical decision if t STAT =+2.269? What is the statistical decision? A.Since the tSTAT value is less than the critical value, reject H0. B.Since the tSTAT value is greater than the critical value, Reject H0. C. Since the tSTAT value is greater than the critical value, do not reject H0. D.Since the tSTAT value is less than the critical value, do not reject H0. 11.A metropolitan transportation authority has set a bus mechanical reliability goal of 3,700 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,750 bus miles and a sample standard deviation of 175 bus miles. Complete parts (a) and (b) below. a. Is there evidence that the population mean bus miles is more than 3,700 bus miles? (Use a 0.10 level of significance.) State the null and alternative hypotheses. H0: >, <, , , =, or H1: >, <, , , =, or (Type integers or decimals.) 12.If, in a random sample of 500 items, 119 are defective, what is the sample proportion of defective items? P = (Type an integer or a decimal.) 13.Given that ZSTAT= +1.22, suppose you are testing the null hypothesis H0: =0.80 against the two tail alternative hypothesis H1: 0.80 and you choose the level of significance 0.05. What is your statistical decision? Identify the critical values. The critical values are .(Round to two decimal places as needed. Use a comma to separate answers as needed.) 14.Recently, a large academic medical center determined that 10 of 17 employees in a particular position were Female whereas 53% of the employees for this position in the general workforce were Female At the 0.01 level of significance, is there evidence that the proportion of Female in this position at this medical center is different from what would be expected in the general workforce? What are the correct hypotheses to test to determine if the proportion is different? A.H0: 0.53; H1: < 0.53 B.H0: = 0.53; H1: 0.53 C.H0: 0.53; H1: = 0.53 D.H0: 0.53; H1: >0.53 15.A university conducted a study of online adults that included 407 tablet owners. The study found that 214 tablet owners use their tablet while watching TV. The authors of the report imply that the survey proves that more than half of all tablet owners use their tablet while watching TV at least once per day. Complete parts (a) through (d) below. a. Use the fivestep pvalue approach to hypothesis testing and a 0.05 level of significance to try to prove that more than half of all tablet owners use their tablet while watching TV at least once per day. Determine the null hypothesis, H0, and the alternative hypothesis, H1. H0: Upper H 1H1: , , or >, <, , , =, or , , or (Type integers or decimals. Do not round.) >, <, , , =, or