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:

Artificially-Sweetened Beverages

Drinks that contain synthetic sweetening agents instead of natural sugars to provide sweetness with fewer or no calories.

Equilibrium Price

The price at which the quantity of a good supplied is equal to the quantity demanded, leading to market stability.

Entire Burden

The total impact or effect of something, often related to the full cost or responsibility borne by an entity.

After-Tax Equilibrium

The balance or condition of a market after the effects of taxes have been considered, reflecting the impact on prices and quantities of goods and services.