If a Difference Exists in the Population of Median Distances

Essay

if a difference exists in the population of median distances for each of the four brands of baseball bat. $\begin{array}{c|c|c|c|c}\text { Batter } & \text { Brand 1 } & \text { Brand 2 } & \text { Brand 3 } & \text { Brand 4 } \\\hline 1 & 307 & 315 & 300 & 275 \\2 & 310 & 317 & 305 & 285 \\3 & 335 & 335 & 335 & 302 \\4 & 325 & 328 & 320 & 300 \\5 & 300 & 305 & 295 & 270 \\6 & 345 & 350 & 340 & 310 \\7 & 312 & 315 & 308 & 300 \\8 & 298 & 302 & 295 & 288\end{array}$
Use the Friedman $\mathrm { F } _ { \mathrm { r } }$ -Test and find the rejection region used to determine if at least two of the distance distributions for the fotr baseball bats differ in location. Use $\alpha = 0.025$ .
A) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { F } _ { \mathrm { r } } > 9.28$
B) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { F } _ { \mathrm { r } } > 29.46$
C) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { F } _ { \mathrm { r } } > 15.10$
D) Reject $\mathrm { H } _ { 0 }$ if $\mathrm { F } _ { \mathrm { r } } > 15.44$ 2 Perform Friedman Fr-Test
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
-Suppose you have used a randomized block design to compare the efficacy of three different doses of an experimental drug. You used seven patients in your study. The data is listed below. Do the data indicate that a particular dosage is more effective than any other dosage? Use α = .10. $\quad$ $\quad$ $\quad$ $\quad$ $\quad$$\text { Dosage }$
$\begin{array} { c c c c } \hline \text { Patient } & \text { A } & \text { B } & \text { C } \\\hline 1 & 55 & 57 & 64 \\2 & 59 & 59 & 59 \\3 & 57 & 58 & 58 \\4 & 56 & 61 & 62 \\5 & 55 & 54 & 56 \\6 & 60 & 58 & 62 \\7 & 56 & 58 & 61 \\\hline\end{array}$