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Given a recent outbreak of illness caused by E. coli bacteria, the mayor in a large...

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 nTc 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

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