Given a recent outbreak of illness caused by E. coli bacterio, the mayor in a large city is concerned that some of his restaurant inspectors are not consistent with their evaluations of a restaurant's 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 qtable.) Restaurant 1 Restaurant 2 Restaurant 3 Inspector 1 54 Inspector 2 Inspector 3 Inspector 4 73 Inspector 5 ge 81 Apicture Click here for the Excel Doto File a-1. Construct on ANOVA table. (Leave no cells blank. Round "SS" and "MS" to 2 decimal places, and "P' and "p-value" to 3 decimal places.) ANOVA Source of Variation SS MS p-value Raws Calumns Error a-2. At the 5% significance level, can you conclude that the average grades differ by restaurant? Yes. since the p-value associated with restaurant is less than significance level. O Yes. since the p-value associated with restaurant is greater then significance level. No. since the p-value associated with restaurant is less then significance level. O No. since the p-value associated with restaurant is greater than significance level. b. If the average grades differ by restaurant, use Tukey's HSD method at the 5% significance level to determine which averages differ. (If the exact value for my - 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.) Population Mean Confidence Interval Does The Differences Average Differ? 4 - H2 14 - H3 H2 - Ha c-1. At the 5%% significance level, can you conclude that the average grades differ by inspector?