A physical trainer has four workouts that he recommends for hisclients. The workouts have been designed so that the averagemaximum heart rate achieved is the same for each workout. To testthis design he randomly selects twenty people and randomly assignsfive of them to use each of the workouts. During each workout, hemeasures the maximum heart rate in beats per minute with thefollowing results. Can the physical trainer conclude that there isa difference among the average maximum heart rates which areachieved 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 differencebetween the workouts. Round your answer to two decimal places, ifnecessary.
Step 2 of 2:
Make the decision to reject or fail to reject the nullhypothesis that equal average maximum heart rates are achieved bythe four workouts and state the conclusion in terms of the originalproblem. Use α=0.05α=0.05.
