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Home Q & A Board Science-Related Homework Help Mathematics Statistics and Probability
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DragoxCM16 DragoxCM16
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4 years ago
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?




Test an appropriate hypothesis and state your conclusion.
Textbook 
Stats: Modeling the World

Stats: Modeling the World


Edition: 4th
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OmamaOmama
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4 years ago
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#2
4 years ago
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?




Create and interpret a 90% confidence interval.
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#3
4 years ago
We wish to create an interval that is likely to contain the true difference between the mean ACT score for non-athletes and athletes.
Under these conditions, the sampling model of the difference in the sample means can be modeled by a Student's t-model with about 10 degrees of freedom (from calculator).
We will use a two-sample t-interval.
The 90% confidence interval is: (0.30, 5.48).

We are 90% confident that non-athletes average between 0.30 points and 5.48 points higher than athletes on the ACT.
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#4
4 years ago
I appreciate what you did here, answered it correctly Smiling Face with Open Mouth
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