A total of 23 Gossett High School students were admitted to State University. Of those students,...

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 each group’s summary statistics of their composite ACT scores, wondering if there was a difference between the groups (those who were not offered scholarships and those who were). The statistics for the 16 students who were not offered scholarships are x̅ = 24.7, s = 2.8 and for the 7 who were, x̅ = 26.5, s = 2.6. Assume that both distributions are approximately normal. Test the counselor’s claim using a 90% Level of Confidence.

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