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. Maximum Heart Rates (Beats per Minute)
Workout #1 Workout #2 Workout #3 Workout #4
172 184 178 170
182 169 166 194
179 185 160 196
154 165 174 192
155 178 179 182

Requird:
a. Can the physical trainer conclude that there is a difference among the average maximum heart rates which are achieved during the four workouts?
b. Find the value of the test statistic to test for a difference between the workouts.