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. $$\begin{array} { c | c | c | c | c }
\text { Batter } & \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } & \text { Brand 4 } \
\hline 1 & 307 & 315 & 300 & 275 \
2 & 310 & 317 & 305 & 285 \
3 & 335 & 335 & 330 & 302 \
4 & 325 & 328 & 320 & 300 \
5 & 300 & 305 & 295 & 270 \
6 & 345 & 350 & 340 & 310 \
7 & 312 & 315 & 308 & 300 \
8 & 298 & 302 & 295 & 288
\end{array}$$ How should the data be analyzed?
A)Randomized block design with eight treatments and four blocks
B)4 × 8 factorial design
C)Completely randomized design with four treatments
D)Randomized block design with four treatments and eight blocks

Question

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. $$\begin{array} { c | c | c | c | c } 
\text { Batter } & \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } & \text { Brand 4 } \
\hline 1 & 307 & 315 & 300 & 275 \
2 & 310 & 317 & 305 & 285 \
3 & 335 & 335 & 330 & 302 \
4 & 325 & 328 & 320 & 300 \
5 & 300 & 305 & 295 & 270 \
6 & 345 & 350 & 340 & 310 \
7 & 312 & 315 & 308 & 300 \
8 & 298 & 302 & 295 & 288
\end{array}$$ How should the data be analyzed?
A)Randomized block design with eight treatments and four blocks
B)4 × 8 factorial design
C)Completely randomized design with four treatments
D)Randomized block design with four treatments and eight blocks

Quizplus · Accepted Answer

This is a randomized block design with four treatments (the four brands of baseball bats) and eight blocks (the eight different batters). Each batter (block) tests all treatments (bat brands) in a random order, which controls for variability among batters.

Four Brands of Baseball Bats Were Tested to Determine Which