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) Completely randomized design with four treatments
B) 4 × 8 factorial design
C) Randomized block design with four treatments and eight blocks
D) Randomized block design with eight treatments and four 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) Completely randomized design with four treatments
B) 4 × 8 factorial design
C) Randomized block design with four treatments and eight blocks
D) Randomized block design with eight treatments and four blocks

Quizplus · Accepted Answer

The data should be analyzed using a randomized block design with four treatments (the four brands of bats) and eight blocks (the eight batters), as each batter uses each bat, controlling for variability among batters.

Four Brands of Baseball Bats Were Tested to Determine Which