First National Bank employs three real estate appraisers whosejob is to establish a property’s market value before the bankoffers a mortgage to a prospective buyer. It is imperative thateach appraiser values a property with no bias. Suppose FirstNational Bank wishes to check the consistency of the recent valuesthat its appraisers have established. The bank asked the threeappraisers to value (in $1,000s) three different types of homes: acape, a colonial, and a ranch. The results are shown in theaccompanying table. (You mayfind it useful to reference the qtable.)
| Appraiser |
| HouseType | 1 | 2 | 3 |
| Cape | 425 | 415 | 430 |
| Colonial | 530 | 550 | 540 |
| Ranch | 390 | 400 | 380 If average values differ by house type, use Tukey’s HSD methodat 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 ofcorresponding upper & lower studentized range values. Negativevalues should be indicated by a minus sign. Round your answers to 2decimal places.)
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