Question

In: Statistics and Probability

A physical trainer has four workouts that he recommends for his clients. The workouts have been...

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.

Solutions

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