A realtor wants to compare the mean sales-to-appraisal ratios of residential properties sold in four neighborhoods (A, B, C, and D). Four properties are randomly selected from each neighborhood and the ratios recorded for each, as shown below.

A: 1.2, 1.1, 0.9, 0.4 C: 1.0, 1.5, 1.1, 1.3

B: 2.5, 2.1, 1.9, 1.6 D: 0.8, 1.3, 1.1, 0.7

Answer the following question. For decimals, round to four decimal places.

State the null hypothesis for this test.

The grand mean for these observations is ____________

The SST for these observations is ____________

The SSA for these observations is ____________

The total degrees of freedom is _________________

The SSW is _________________

The within group mean square is _________________

The MSA is __________

At the 0.05 level of significance, the test statistic would be ________

The degrees of freedom are ________

Using = 0.05, the critical value for this test would be ________

What is the p value _______

What is your conclusion?

For the post hoc comparison you will have ____ pairwise comparisons.

The Bonferroni alpha is______

Which pairs have a p value smaller than Bonferroni alpha? ______________

What is your conclusion?