You are the manager of a restaurant tor a fast-food iranchise Last month, the mean waiting time at the drivethrough window for branches in your geographical region. as measured from the time a customer places an order until the time the customer receives the order, was 3.? minutes. You select a random sample of 64 orders. The sample mean waiting time is 3.58 minutes, with a sample standard deviation of 0.8 minute. Complete parts [a] and (in) below. a. At the 0.01 level of significance, is there evidence that the population mean waiting time is different from 3.? minutes? State the null and altemative hypotheses. Ho: '1 = 3.? H1 : p t 3.7 (Type integers or decimals.) Determine the test statistic. The test statistic is (Round to two decimal places as needed.) A cellphone provider has the business objective of wanting to determine the proportion of subscribers who would upgrade to a new cellphone with improved features if it were made available at a substantially reduced cost. Data are collected from a random sample of 500 subscribers. The results indicate that 113 of the subscribers would upgrade to a new cellphone at a reduced cost. Reducing the price will be profitable if at least 20% of the subscribers would upgrade. Complete parts (a) and (b) below. a. At the 0.05 level of significance, is there evidence that more than 20% of the customers would upgrade to a new cellphone at a reduced cost? Determine the null hypothesis, Ho, and the alternative hypothesis, H,. O A. Ho: 1 2 0.20 OB. H: IT= 0.20 H,: n 0.20 H,: I = 0.20 What is the test statistic? ZSTAT = -2.5 (Type an integer or a decimal. Round to two decimal places as needed.)Amanager of a pizza restaurant has changed the restaurant's delivery process in an eort to reduce the mean time between the order and completion of delivery from the current 25 minutes. A sample of 35 orders using the new delivery process yields a sample mean of 22.5 minutes and a sample standard deviation of 6 minutes. Complete parts (a) through {d} below. a. Using the critical value approach, at the [1.05 level of signicance, is there evidence that the population mean delivery time has been reduced below the previous population mean value of 25 minutes? State the null and alternative hypotheses tor this test. :3 A. H\": p25 :- D. H0: p222.5 {2:- E. Ho: \">25 . H0: \"$22.5 H12p22.5 What is the test statistic for this test\"? lSTAT : _ 2-5 (Type an integer or a decimal. Round to two decimal places as needed.) What ls(are) the critical value[s) for this test? 1.68 (Type an integer or a decimal. Round to two decimal places as needed. Use commas to separate your answers as needed.) A company that manufactures steel troughs requires that the width of the trough be between 8.31 inches and 8.61 inches. The data in the accompanying table contains the widths of the troughs, in inches, for a sample of n = 50. Complete parts (a) through (d). Click the icon to view the data table. a. At the 0.05 level of significance, is there evidence that the mean width of the troughs is different from 8.46 inches? State the null and alternative hypotheses. Ho : H = 8.46 Hy: p # 8.46 - X Trough Widths (Type integers or decimals.) Determine the test statistic. Trough Widths (in inches) The test statistic is. 8.317 8.338 8.319 8.387 8.355 8.409 8.346 8.368 8.478 8.426 (Round to two decimal places as needed.) 8.472 8.387 8.479 8.409 8.418 8.414 8.378 8.462 8.495 8.453 8.437 8.413 8.486 8.415 8.482 8.414 8.482 8.429 8.452 8.469 8.465 8.446 8.435 8.468 8.408 8.421 8.415 8.413 8.324 8.416 8.388 8.448 8.404 8.447 8.408 8.432 8.417 8.495 8.403 8.429 Print Done