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Four Brands of Baseball Bats Were Tested to Determine Which

question 39

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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} Identify the response variable in this experiment.


Definitions:

Infinite Population

A theoretical concept where the size of the population is limitless or indefinitely large.

Mean

The average of a set of numbers, calculated by dividing the sum of the values by the number of values.

Standard Deviation

A measure of the amount of variation or dispersion of a set of values, indicating how spread out the values are.

Statistical Inference

The process of using data obtained from a sample to make estimates or test hypotheses about the characteristics of a population.

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