A Total of 23 Gossett High School Students Were Admitted $\text { Composite ACT Score }$

question 32

Essay

A total of 23 Gossett High School students were admitted to State University. Of those students, 7 were offered athletic scholarships. The school's guidance counselor looked at their composite ACT scores (shown in the table), wondering if State U. might admit people with lower scores if they also were athletes. Assuming that this group of students is representative of students throughout the state, what do you think?
$\text { Composite ACT Score }$
$\begin{array}{|c|c|}\hline\text { Non-athletes} &\text { Athletes} \\\hline 25 \quad21 & 22 \\22\quad 27 & 21 \\19 \quad 29 & 24 \\25 \quad 26 & 27 \\24 \quad 30 & 19 \\25 \quad 27 & 23 \\24 \quad 26 & 17 \\23 \quad 23 & \\\hline\end{array}$

-Create and interpret a 90% confidence interval.

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Definitions:

Pay Raise

An increase in the amount of salary or wages given to an employee, typically as a recognition of performance or to adjust for inflation and living costs.

Contingent Reward

A leadership strategy where rewards or punishments are given based on the performance of the followers.

Management By Exception

A management strategy where leaders intervene only when necessary, mainly when there are deviations from expected outcomes; it emphasizes autonomy in the regular tasks.

Positive Reinforcement

A technique in behavior analysis that involves the addition of a stimulus following a desired behavior, increasing the likelihood of that behavior occurring again.