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:

Interquartile Range

The measure of variability which is the difference between the third quartile and the first quartile in a dataset, indicating the spread of the middle 50%.

Percentiles

Values or scores below which a given percentage of observations in a group of observations fall.

Decile

A statistical measure dividing a dataset into ten equal parts, each containing 10% of the data points.

Median

The middle value in a set of data, where half the numbers are above it and half are below, when the data is arranged in ascending order.