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Four Brands of Baseball Bats Were Tested to Determine Which

question 17

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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\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} A partial ANOVA table is shown below.  Source  DF  SS  MS  F  Batter 7946.77 Brand 3 Error 21500.9 Total 3111245.9\begin{array} { l | c | c | c | c } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } \\\hline \text { Batter } & 7 & & 946.77 & \\\text { Brand } & 3 & & & \\\text { Error } & 21 & 500.9 & & \\\text { Total } & 31 & 11245.9 & &\end{array} Find the F-value in the table above for testing whether the average distance hit for the four brands
Of baseball bats differ.

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Definitions:

Systematic Judgments

Decisions or evaluations made based on a thorough analysis and following a specific method or protocol.

Confirmation Bias

A bias towards identifying, comprehending, selecting, and reminiscing information that supports and validates one's existing beliefs or assumptions.

Self-Fulfilling Prophecy

A prediction that directly or indirectly causes itself to become true.

Cognitive Functionality

The intellectual processes by which an individual understands, reasons, thinks, and remembers information.

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