If a Difference Exists in the Population of Median Distances

question 34

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 }$
$\begin{array} { c c c c } \hline \text { Patient } & \text { A } & \text { B } & \text { C } \\\hline 1 & 55 & 57 & 64 \\2 & 59 & 59 & 59 \\3 & 57 & 58 & 58 \\4 & 56 & 61 & 62 \\5 & 55 & 54 & 56 \\6 & 60 & 58 & 62 \\7 & 56 & 58 & 61 \\\hline\end{array}$

• 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. \(\quad \) \(\quad \) \(\quad \) \(\quad \) \(\quad \)\(\text { Dosage }\)
• \(\begin{array} { c c c c }
• \hline \text { Patient } & \text { A } & \text { B } & \text { C } \\
• \hline 1 & 55 & 57 & 64 \\
• 2 & 59 & 59 & 59 \\
• 3 & 57 & 58 & 58 \\
• 4 & 56 & 61 & 62 \\
• 5 & 55 & 54 & 56 \\
• 6 & 60 & 58 & 62 \\
• 7 & 56 & 58 & 61 \\
• \hline
• \end{array}\)

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Definitions:

Obesity

A medical condition characterized by excessive body fat accumulation, posing significant health risks.

Metabolism Rate

The rate at which an individual's body converts food into energy, affecting how quickly or slowly they burn calories and hence influencing weight gain or loss.

Hyperinsulinemia

A condition characterized by excess levels of insulin circulating in the blood relative to glucose levels, often a precursor to diabetes.

Obesity

A medical condition characterized by excessive body fat that presents a risk to health.