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Of the 23 First Year Male Students at State U $\quad$

question 34

Essay

Of the 23 first year male students at State U. admitted from Jim Thorpe High School, 8 were offered baseball scholarships and 7 were offered football scholarships. The University admissions committee looked at the students' composite ACT scores (shown in table), wondering if the University was lowering their standards for athletes. Assuming that this group of students is representative of all admitted students, what do you think?

$\quad$ $\quad$ $\text {Composite ACT Score }$
$\begin{array}{|c|c|c|}\hline\text { Baseball }&\text { Non-athletes }& \text {Football }\\\hline 25 & 21 & 22 \\22 & 27 & 21 \\19 & 29 & 24 \\25 & 26 & 27 \\24 & 30 & 19 \\25 & 27 & 23 \\24 & 26 & 17 \\23 & 23 & \\\hline\end{array}$

Boxplots:

$Of the 23 first year male students at State U. admitted from Jim Thorpe High School, 8 were offered baseball scholarships and 7 were offered football scholarships. The University admissions committee looked at the students' composite ACT scores (shown in table), wondering if the University was lowering their standards for athletes. Assuming that this group of students is representative of all admitted students, what do you think? \quad \quad \text {Composite ACT Score } \begin{array}{|c|c|c|} \hline\text { Baseball }&\text { Non-athletes }& \text {Football }\\ \hline 25 & 21 & 22 \\ 22 & 27 & 21 \\ 19 & 29 & 24 \\ 25 & 26 & 27 \\ 24 & 30 & 19 \\ 25 & 27 & 23 \\ 24 & 26 & 17 \\ 23 & 23 & \\ \hline \end{array} Boxplots: \text {Analysis of Variance Table} \begin{array}{|c|c|r|c|c|c|} \hline &\text { Sums of }&&\text { Mean }&&\text { P-} \\ \text { Source}&\text { Squares } &d f &\text { Squares } &\text { F-ratio }&\text { value }\\ \hline Team & 71.00 & 2 & 35.50 & 4.56 & 0.023 \\ \hline Error & 155.61 & 20 & 7.78 & & \\ \hline Total & 226.61 & 22 & & & \\ \hline \end{array} \text {Means and Std Deviations} \begin{array}{|l|r|r|r|} \hline \text {Level }& \text {Number} & \text {Mean }& \text {Std Dev} \\ \hline \text {Baseball} & 8 & 23.3750 & 2.06588 \\ \hline \text {Football }& 7 & 21.8571 & 3.28778 \\ \hline \text {Non Athlete} & 8 & 26.1250 & 2.94897 \\ \hline \end{array} Normal Probability Plot: -Test an appropriate hypothesis and state your conclusion$

$\text {Analysis of Variance Table}$
$\begin{array}{|c|c|r|c|c|c|}\hline &\text { Sums of }&&\text { Mean }&&\text { P-} \\ \text { Source}&\text { Squares } &d f &\text { Squares } &\text { F-ratio }&\text { value }\\\hline Team & 71.00 & 2 & 35.50 & 4.56 & 0.023 \\\hline Error & 155.61 & 20 & 7.78 & & \\\hline Total & 226.61 & 22 & & & \\\hline\end{array}$

$\text {Means and Std Deviations}$
$\begin{array}{|l|r|r|r|}\hline \text {Level }& \text {Number} & \text {Mean }& \text {Std Dev} \\\hline \text {Baseball} & 8 & 23.3750 & 2.06588 \\\hline \text {Football }& 7 & 21.8571 & 3.28778 \\\hline \text {Non Athlete} & 8 & 26.1250 & 2.94897 \\\hline\end{array}$

Normal Probability Plot:

$Of the 23 first year male students at State U. admitted from Jim Thorpe High School, 8 were offered baseball scholarships and 7 were offered football scholarships. The University admissions committee looked at the students' composite ACT scores (shown in table), wondering if the University was lowering their standards for athletes. Assuming that this group of students is representative of all admitted students, what do you think? \quad \quad \text {Composite ACT Score } \begin{array}{|c|c|c|} \hline\text { Baseball }&\text { Non-athletes }& \text {Football }\\ \hline 25 & 21 & 22 \\ 22 & 27 & 21 \\ 19 & 29 & 24 \\ 25 & 26 & 27 \\ 24 & 30 & 19 \\ 25 & 27 & 23 \\ 24 & 26 & 17 \\ 23 & 23 & \\ \hline \end{array} Boxplots: \text {Analysis of Variance Table} \begin{array}{|c|c|r|c|c|c|} \hline &\text { Sums of }&&\text { Mean }&&\text { P-} \\ \text { Source}&\text { Squares } &d f &\text { Squares } &\text { F-ratio }&\text { value }\\ \hline Team & 71.00 & 2 & 35.50 & 4.56 & 0.023 \\ \hline Error & 155.61 & 20 & 7.78 & & \\ \hline Total & 226.61 & 22 & & & \\ \hline \end{array} \text {Means and Std Deviations} \begin{array}{|l|r|r|r|} \hline \text {Level }& \text {Number} & \text {Mean }& \text {Std Dev} \\ \hline \text {Baseball} & 8 & 23.3750 & 2.06588 \\ \hline \text {Football }& 7 & 21.8571 & 3.28778 \\ \hline \text {Non Athlete} & 8 & 26.1250 & 2.94897 \\ \hline \end{array} Normal Probability Plot: -Test an appropriate hypothesis and state your conclusion$
-Test an appropriate hypothesis and state your conclusion

Definitions:

Big Ten

Refers to a group of ten large universities in the Midwestern United States that are members of the Big Ten Conference, known for their athletic and academic achievements.

Long-Run Equilibrium

A state in which all factors of production and outputs are fully adjusted to the economic conditions, allowing for the optimal distribution of resources and the equilibration of supply and demand in all markets.

Time-Discounted Value

The current worth of a future sum of money or stream of cash flows given a specified rate of return, reflecting the preference for money now over money later.

Monopoly Market

A market framework where there is only one supplier offering a distinct product without any close alternatives.

Of the 23 First Year Male Students at State U \quad

Definitions:

Of the 23 First Year Male Students at State U $\quad$