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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:

Delirium

An acute, often reversible, mental disorder characterized by confused thinking, lack of awareness of the environment, and cognitive disturbances.

Perceptual Alterations

Changes or distortions in the way individuals perceive reality, often experienced in certain mental health conditions, affecting sensory experiences or interpretation of the environment.

Disturbed Orientation

A condition in which an individual has trouble recognizing time, place, situation, or personal identity.

Fluctuating Levels

Variations or changes in intensity, quantity, or value of something over a period of time.

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

Definitions:

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