Reference no: EM132852829

Four brands of baseball bats were tested to determine which bat allowed hitters to hit a baseball farthest. Eight different batters were thrown 25 pitches while hitting with each of the four bats (assigned in random order). The average distance of the five longest hits using each bat is shown in the table below. The goal is to determine if the average hit distance differs for the four brands of baseball bats. Batter Brand 1 | Brand 2 Brand 3 | Brand 4 1 307 315 300 275 2 310 317 305 285 3 335 335 330 302 4 325 328 320 300 5 300 305 295 270 6 345 350 340 310 7 312 315 308 300 8 298 302 295 288 The ANOVA table output is shown here: Source DF Batter 7 Brand 3 Error 21 Total 31 SS MS FP 6227.4 946.77 39.700.0000 4117.6 137254 57.55 0.0000 500.9 23.85 (11245.91 Based on the p-value for this test, make the proper conclusion about the treatments in this experiment. = There is insufficient evidence (at Q = 0.01) to indicate differences among the mean distances for the eight batters. There is insufficient evidence (at a 0.01) to indicate differences among the mean distances for the four brands of baseball bats. There is sufficient evidence (at Q = 0.01) to indicate differences among the mean distances for the four brands of baseball bats. There is sufficient evidence (at Q = 0.01) to indicate differences among the mean distances for the eight batters.