Given a recent outbreak of illness caused by E. coli bacteria, the mayor in a large city is concerned that some of his restaurant inspectors are not consistent with their evaluations of a restaurants cleanliness. In order to investigate this possibility, the mayor has five restaurant inspectors grade (scale of 0 to 100) the cleanliness of three restaurants. The results are shown in the accompanying table. Assume that grades are normally distributed. (You may find it useful to reference the q table.) Restaurant 1 Restaurant 2 Restaurant 3 Inspector 1 72 52 82 Inspector 2 69 53 84 Inspector 3 71 56 79 Inspector 4 71 61 85 Inspector 5 71 57 81 picture Click here for the Excel Data File a-1. Construct an ANOVA table. (Leave no cells blank. Round "SS" and "MS" to 2 decimal places, and "F" and "p-value" to 3 decimal places.) a-2. At the 5% significance level, can you conclude that the average grades differ by restaurant? multiple choice 1 YesPicture since the p-value associated with restaurant is less than significance level. YesPicture since the p-value associated with restaurant is greater than significance level. NoPicture since the p-value associated with restaurant is less than significance level. NoPicture since the p-value associated with restaurant is greater than significance level. b. If the average grades differ by restaurant, use Tukeys HSD method at the 5% significance level to determine which averages differ. (If the exact value for nT c is not found in the table, use the average of corresponding upper & lower studentized range values. Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) c-1. At the 5% significance level, can you conclude that the average grades differ by inspector? multiple choice 2 YesPicture since the p-value associated with inspector is less than significance level. YesPicture since the p-value associated with inspector is greater than significance level. NoPicture since the p-value associated with inspector is less than significance level. NoPicture since the p-value associated with inspector is greater than significance level. c-2. Does the mayor have cause for concern? multiple choice 3 Yes No