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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:

Obedience Experiments

Obedience experiments are psychological tests that study how people obey authority figures, even when asked to perform acts conflicting with their personal morality.

Authority

The power or right to give orders, make decisions, and enforce obedience.

Milgram

A psychologist known for his research on obedience, revealing how ordinary people can commit extraordinary acts under authority pressure.

Obedience

Following the commands or guidance of an authority figure without questioning.

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

Definitions:

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