1.) provide solution

Bayus (1991) studied the mean numbers of auto dealers visited by early and late replacement buyers. Letting / be the mean number of dealers visited by all late replacement buyers, set up the null and alternative hypotheses needed if we wish to attempt to provide evidence that / differs from 4 dealers. A random sample of 100 late replacement buyers yields a mean and a standard deviation of the number of dealers visited of I = 4.51 and s = .54. Using a critical value and assuming approximate normality to test the hypotheses you set up by setting a equal to 10, .05. .01. and .001. Do we estimate that / Is less than 4 or greater than 4? (Round your answers to 3 decimal places.) HO: H 4 versus Ha: H 4 . t to/2 = 0.05 to/2 = 0.025 to/2 = 0.005 to/2 = 0.0005In each of the following situations, find the necessary sample size. a. In the Consolidated Power hypothesis test of my: / $ 60 versus #: / > 60, find the sample size needed to make the probability of a Type I error equal to .025 and the probability of a Type II error corresponding to the alternative value ; = 60.5 equal to .025. Here, assume o equals 2. (Round your answer up to the nearest whole number.) nSuppose that a national survey finds that 73 percent of restaurant employees say that work stress has a negative Impact on their personal lives. A random sample of 200 employees of a large restaurant chain finds that 141 employees say that work stress has a negative Impact on their personal lives. (a) Formulate the null and alternative hypotheses needed to attempt to provide evidence that the percentage of work-stressed employees for the restaurant chain differs from the national percentage. Answer is complete and correct. HO: P = 0.73 versus HE: p 0.73 (b) Use critical values and a p-value to perform the hypothesis test by setting o equal to 10, .05. .01, and .001. (Negative value should be indicated by a minus sign. Round p-value to 4 decimal places and z to 2 decimal places.) * Answer is complete but not entirely correct. 1.96 50 p-value 0.4238 Answer is complete and correct. Insufficient evidence against HO.The auditor for a large corporation routinely monitors cash disbursements. As part of this process, the auditor examines check request forms to determine whether they have been properly approved. Improper approval can occur In several ways. For Instance, the check may have no approval, the check request might be missing, the approval might be written by an unauthorized person, or the dollar limit of the authorizing person might be exceeded. (a) Last year the corporation experienced a 5 percent Improper check request approval rate. Because this was considered unacceptable, efforts were made to reduce the rate of Improper approvals. Letting p be the proportion of all checks that are now Improperly approved, set up the null and alternative hypotheses needed to attempt to demonstrate that the current rate of Improper approvals is lower than last year's rate of 5 percent. (Round your answers to 2 decimal places.) Answer is complete and correct. HO: p 2 0.05 @ versus HE: p