WaitiTima: 111ere are three registers at the local grocery store. I suspect the mean Walt-times for the registers are different. The sample data is depicted below. The second table displays results from an ANOVA test on thls data wlth software. WaitrTimes in Min Utes x ANCNA Results Register 1 2.0 2.0 1.1 2.0 1.0 2.0 1.0 1.3 1.55 F Pivalue Register 2 LE 2.0 2.2 1.9 1.8 2.1 2.2 1.7 1.96 2.794 0.0840 Register3 2.1 2.1 1.8 1.5 1.4 1.4 2.0 1.7 1.75 The Test: Complete the steps in testing the claim that there is a difference in mean waiteh'mes between the registers. (a) what is the null hypothesis for this test? 0 Ho: #1 : P'z : F3- 0 Ha: At least one of the population means is different from the others. 0 Ho: #2 > #3 > .141- 0 Ho: #1 H12 H13- (b) What is the alternate hypothesis for this test? 0 H1: #1 = .\"2 = #3- O \"1: #2> #3)}'1- 0 H1: At least one of the population means is different from the others. 0 H1: #1 *P2 ##3- (c) What is the conclusion regarding the null hypothesis at the 0.10 signicance level? 0 reject HO O fail to reject Ho (d) Choose the appropriate concluding statement. 0 We have proven that all of the mean waitetimes are the same. 0 There ls sufcient evidence to conclude that the mean wait-times are dlfferent. 0 There ls not enough evidence to conclude that the mean wait-times are different. (e) Does your conclusion change at me 0.05 slgnicance level? 0 Yes ONo