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:

Downward Comparisons

A psychological strategy where individuals compare themselves to others who are worse off in order to feel better about their own situation.

Presumptive Reasoning

A form of logical thinking that makes assumptions based on general rules or past experiences, leading to conclusions that are taken as likely true.

Violent Crimes

Acts of crime that involve the use of force or the threat of force against others, such as murder, rape, and assault.

Effective Functioning

The capability of an individual or system to achieve its goals or fulfill its purpose with efficiency and effectiveness.