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Four Brands of Baseball Bats Were Tested to Determine Which

Question 6

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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
 Batter  Brand 1  Brand 2  Brand 3  Brand 4 13073153002752310317305285333533533530243253283203005300305295270634535034031073123153083008298302295288\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}
What type of nonparametric analysis should be used?


A) The Sign Test
B) The Wilcoxon Rank Sum Test
C) The Wilcoxon Signed Rank Test
D) The Kruskal-Wallis H-Test
E) The Friedman Fr-Test

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