A researcher wished to compare the effect of the frequency of the rate of steppi

Question

A researcher wished to compare the effect of the frequency of the rate of stepping on heart rate in a step-aerobics workout. A collection of thirty adult volunteers was randomly divided into three groups of ten subjects each. Each group did a standard step-aerobics workout with Group 1 at a low rate of stepping, Group 2 at a medium rate of stepping, and Group 3 at a rapid rate. The mean heart rate at the end of the workout for all subjects was determined in beats per minute. Assume the data for the three groups are independent and approximately Normal. The means and standard deviations of the heart rates for the three groups are given below.

A. 2

B.27

C.30

2.The mean square for groups and mean square for error were computed to be MSG = 1863.9 and MSE = 310.867. Which of the following is true?

F = 6.00 and has 27 degrees of freedom in the numerator and 2 degrees of freedom in the denominator.

The P-value is less than 0.01.

Neither choice is correct.

F = 6.00 and has 27 degrees of freedom in the numerator and 2 degrees of freedom in the denominator.

The P-value is less than 0.01.

Neither choice is correct.

Explanation / Answer

1.

There are n = 30 subjects, in k = 3 groups.

Hence,

df2 = n - k = 30 - 3 = 27 [ANSWER]

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2.

Hence,

F = MSG/MSE = 1863.9/310.867 = 6.00.

Also,

df1 = k - 1 = 2

df2 = 27

Hence, by table/technology, we know that

OPTION B: The P-value is less than 0.01. [ANSWER, B]

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