TABLE 11-2
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
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
-Referring to Table 11-2, the within group mean squares is
A) 0.0985.
B) 0.2910.
C) 1.0606.
D) 1.1825.

Question

TABLE 11-2
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
Interpret the results of the analysis summarized in the following table:
Source df SS MS F PR > F
Neighborhoods 3.1819 1.0606 10.76 0.001
Error 12
Total 4.3644
-Referring to Table 11-2, the within group mean squares is
A) 0.0985.
B) 0.2910.
C) 1.0606.
D) 1.1825.

Quizplus · Accepted Answer

The within group mean squares (MS) is calculated by dividing the sum of squares for error (SS Error) by its degrees of freedom (df Error). Here, MS = SS Error / df Error = (4.3644 - 3.1819) / 12 = 0.0985.

TABLE 11-2 a Realtor Wants to Compare the Mean Sales-To-Appraisal Ratios of Ratios