Four Brands of Baseball Bats Were Tested to Determine Which

question 64

Multiple Choice

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. $$\begin{array}{l}\begin{array} { c | c | c | c | c } \text { Batter } & \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } & \text { Brand 4 } \\\hline 1 & 307 & 315 & 300 & 275 \\2 & 310 & 317 & 305 & 285 \\3 & 335 & 335 & 330 & 302 \\4 & 325 & 328 & 320 & 300 \\5 & 300 & 305 & 295 & 270 \\6 & 345 & 350 & 340 & 310 \\7 & 312 & 315 & 308 & 300 \\8 & 298 & 302 & 295 & 288\end{array}\\\\\text { A partial ANOVA table is shown below. }\\\\\begin{array} { l | c | l | l | l } \text { Source } & \text { DF } & \text { SS } & \text { MS } & \text { F } \\\hline \text { Batter } & 7 & & 946.77 & \\\text { Brand } & 3 & & & \\\text { Error } & 21 & 500.9 & & \\\text { Total } & 31 & 11245.9 & &\end{array}\end{array}$$ Find the F-value in the table above for testing whether the average distance hit for the four brands of baseball bats differ.

• A) 39.7
• B) 23.9
• C) 2.8
• D) 57.6

---

Definitions:

Realistic Optimists

Individuals who maintain a positive outlook on life while still being grounded in a realistic understanding of their situation or the world around them.

Exhaustion Phase

The final stage of the general adaptation syndrome, characterized by the body's depletion of resources after prolonged exposure to stress.

General Adaptation Syndrome

A three-stage response (alarm, resistance, exhaustion) that the body goes through when exposed to chronic stress.

Emotion Work

Emotion work is the process of managing one's own feelings and expressions to fulfill the emotional requirements of a job or personal roles, often involving regulating or changing one's emotional expressions.