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:




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

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



Normal Probability Plot:


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Definitions:

Screening

The process of evaluating or assessing something for a specific purpose, such as identifying suitable candidates for a job or detecting diseases.

True Risks

Genuine uncertainties and potential for loss that are inherent in decisions or activities, without assurance of outcomes.

Low Deductible

Refers to insurance policies with a smaller initial amount paid out of pocket by the policyholder before the insurance coverage kicks in, typically leading to higher premiums.

Premium

The amount paid for an insurance policy or the extra cost above the normal price for a product or service, often reflecting additional benefits or coverage.