Question

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 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. (You may find it useful to reference the q table.)

Inspector	Restaurant
	1	2	3
1	72	54	84
2	68	55	85
3	73	59	80
4	69	60	82
5	75	56	84

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 n_T − 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 Differences Confidence Interval Does The Average Differ? μ1 − μ2 [ , ] Yes μ1 − μ3 [ , ] Yes μ2 − μ3 [ , ] Yes

Answer 1