PART 1: Of the following ANOVA analysis table, the F-test statistic is: PART 2:

Question

PART 1:

Of the following ANOVA analysis table, the F-test statistic is:

PART 2:

To investigate the efficacy of a fitness program over a 4-week period, a random sample of 25 females is selected from a population of adult females participating in the program. The weight of each individual in the sample is taken at the start of the program and at the end of the program. Suppose the mean decrease in weights over all 25 subjects in the study is 5.0 pounds with the standard deviation of differences computed as 12.0 pounds. Which of the following statement is correct?

ANOVA Source of Variation SS df MS F P-value F crit Between Groups 1464.1 4 0.0411 2.442 Within Groups 129 Total 19847.3 133 ? 0.05

Explanation / Answer

Part - 1:

SSE = 19847.3 - 1464.1 = 18383.2

MSR = 1464.1/4

MSE = 18383.2/129

Hence,

F = MSR / MSE = (1464.1/4) / (18383.2/129) = 2.57

Hence,

F is between 2 and 3.

Option 3 is correct.

Part - 2:

Option 1 is correct.

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