A realtor wants to compare the average 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 are recorded for each, as shown below.
Neighborhood
(Sales-to-Appraisal Ratio)
Home A B C D
1 1.2 2.5 1.0 0.8
2 1.1 2.1 1.5 1.3
3 0.9 1.9 1.1 1.1
4 0.4 1.6 1.3 0.7
(a) Calculate the among groups degrees of freedom?
(b) Calculate the among blocks degrees of freedom?
(c) Calculate SST?
(d) Calculate SSA?
(e) Calculate SSBL?
(f) Calculate SSE?
(g) Calculate MSA?
(h) Calculate MSBL?
(i) Calculate MSE?
(j) At a 0.05 level of significance, determine if the mean ratios for the four neighborhoods are the same?