Four Brands of Baseball Bats Were Tested to Determine Which

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 median distance of the five longest hits using each bat is shown in
The table below. The goal is to determine if a difference exists in the population of median
Distances for each of the four brands of baseball bat. $\begin{array}{c|c|c|c|c}\text { Batter } & \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } & \text { Brand 4 } \\\hline 1 & 307 & 315 & 300 & 275 \\2 & 310 & 317 & 305 & 285 \\3 & 335 & 335 & 335 & 302 \\4 & 325 & 328 & 320 & 300 \\5 & 300 & 305 & 295 & 270 \\6 & 345 & 350 & 340 & 310 \\7 & 312 & 315 & 308 & 300 \\8 & 298 & 302 & 295 & 288\end{array}$

Use the Friedman $\mathrm { F } _ { \mathrm { r } } -$ Test and find the rejection region used to determine if at least two of the distance distributions for the four baseball bats differ in location. Use $\alpha = 0.025$ .

A) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { F } _ { \mathrm { r } } > 9.28$
B) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { F } _ { \mathrm { r } } > 15.44$
C) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { F } _ { \mathrm { r } } > 15.10$
D) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { F } _ { \mathrm { r } } > 29.46$