Question

A physical trainer has four workouts that he recommends for his clients. The workouts have been designed so that the average maximum heart rate achieved is the same for each workout. To test this design he randomly selects twenty people and randomly assigns five of them to use each of the workouts. During each workout, he measures the maximum heart rate in beats per minute with the following results. Can the physical trainer conclude that there is a difference among the average maximum heart rates which are achieved during the four workouts?

Maximum Heart Rates (Beats per Minute)

Workout #	Workout #2	Workout #3	Workout #4
185	161	160	189
161	170	171	165
196	161	189	178
187	159	168	183
177	183	168	191

Step 1 of 2:

Find the value of the test statistic to test for a difference between the workouts. Round your answer to two decimal places, if necessary.

Step 2 of 2:

Make the decision to reject or fail to reject the null hypothesis that equal average maximum heart rates are achieved by the four workouts and state the conclusion in terms of the original problem. Use α=0.05α=0.05.

Answer 1

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