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WaitTimes (Raw Data, Software Required): There are three registers at the local grocery store. Isuspect the mean wait-times for the registers are different. The sample

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WaitTimes (Raw Data, Software Required): There are three registers at the local grocery store. Isuspect the mean wait-times for the registers are different. The sample data is depicted below. It gives the wait-Ii mes in minutes. Register 1 Register 2 Register 3 2.0 1.8 2.1 2.0 2.0 2.1 1.1 2.2 1.8 2.0 1.9 1.5 1.0 1.8 1.4 2.0 2.1 1.4 1.0 2.2 2.0 1.6 2.0 2.1 111e Test: Complete the steps in testing the claim that there is a difference in mean waitti mes between the registers. (a) What is the null hypothesis for this test? 0 I"lo: #1 11'2 His- 0 H0: #1=#2=H3- O I"lo: z>l331~ O Ho: At least one of the population means is different from the others. (b) What is the alternate hypothesis for this test? 0 H1: At least one ofthe population means is different from the others. 0 H1: F2}#33H1~ 0 H1: #1:.\"2 ::43- 0 H1: F1=z=3- (c) Use software to get me Pvalue of the test statistic ( F ). Round to 4 decimal places unless your software automatically rounds to 3 decimal places. (cl) What is the conclusion regarding the null hypothesis at the 0.01 signicance level? 0 reject Ho O fail to reject H0 (e) Choose the appropriate concluding atement. 0 We have proven that all of the mean waittimes are the same. 0 There is suf cient evidence to conclude that the mean waitti mes are different. 0 There is not enough evidence to conclude that the mean waittimes are different. (f) Does your conclusion change at the 0.10 signicance level? 0 Yes Ohio

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