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Four Brands of Baseball Bats Were Tested to Determine Which

question 30

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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 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 13073153002752310317305285333533533030243253283203005300305295270634535034031073123153083008298302295288 The ANOVA table output is shown here:  Source  DF  SS  MS  F  P  Batter 76227.4946.7739.700.0000 Brand 34117.61372.5457.550.0000 Error 21500.923.85 Total 3111245.9\begin{array}{l}\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 & 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\end{array}\\\text { The ANOVA table output is shown here: }\\\begin{array} { c | c | c | c | c | c } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } & \text { P } \\\hline \text { Batter } & 7 & 6227.4 & 946.77 & 39.70 & 0.0000 \\\text { Brand } & 3 & 4117.6 & 1372.54 & 57.55 & 0.0000 \\\text { Error } & 21 & 500.9 & 23.85 & & \\\text { Total } & 31 & 11245.9 & & &\end{array}\end{array} Identify the test statistic that should be used for testing whether the average distance hit for the
Four brands of baseball bats differ.


Definitions:

Letter Presentation

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