Given a recent outbreak of illness caused by E. colibacteria, the mayor in a large city is concerned that some of hisrestaurant inspectors are not consistent with their evaluations ofa restaurant’s cleanliness. In order to investigate thispossibility, the mayor has five restaurant inspectors grade (scaleof 0 to 100) the cleanliness of three restaurants. The results areshown in the accompanying table. (You may find it useful toreference 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 If the average grades differ by restaurant, use Tukey’s HSDmethod at the 5% significance level to determine which averagesdiffer. (If the exact value fornT ? c is not found in thetable, use the average of corresponding upper & lowerstudentized range values. Negative values should be indicated by aminus sign. Round your answers to 2 decimalplaces.)
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