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Five different training programs for improving endurance are compared. Forty individuals are randomly divided into five groups of n = 8 each and a different training program is assigned to each group. After two months, the improvement in endurance is recorded for each participant.
-The p-value in this situation would be found using
A) an F-distribution with 39 degrees of freedom.
B) an F-distribution with 5 and 8 degrees of freedom.
C) an F-distribution with 4 and 3 degrees of freedom.
D) an F-distribution with 4 and 35 degrees of freedom.

Question

Use the following information for questions:
 Five different training programs for improving endurance are compared. Forty individuals are randomly divided into five groups of n = 8 each and a different training program is assigned to each group. After two months, the improvement in endurance is recorded for each participant.
-The p-value in this situation would be found using
A) an F-distribution with 39 degrees of freedom.
B) an F-distribution with 5 and 8 degrees of freedom.
C) an F-distribution with 4 and 3 degrees of freedom.
D) an F-distribution with 4 and 35 degrees of freedom.

Quizplus · Accepted Answer

The correct statistical test for comparing more than two groups is ANOVA (Analysis of Variance), which uses the F-distribution. The degrees of freedom for the numerator (between groups) is the number of groups minus one (5 - 1 = 4), and for the denominator (within groups or error) is the total number of observations minus the number of groups (40 - 5 = 35).

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