In: Statistics and Probability
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?
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.
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