A college admissions officer states that the average ACT score for incoming freshmen at her school is no more than 22 and that standard deviation for ACT scores is 4 points. A sample of 36 incoming freshmen reveals an average ACT score of 23.5. State thenull and alternative hypotheses concerning this claim and test the hypothesis at the 99% confidence level using the P-value. Is the officer’s statement correct, based on this sample information and your test?

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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A college admissions officer states that the average ACT score for incoming freshmen at her school is no more than 22 and that standard deviation for ACT scores is 4 points. A sample of 36 incoming freshmen reveals an average ACT score of 23.5. State thenull and alternative hypotheses concerning this claim and test the hypothesis at the 99% confidence level using the P-value. Is the officer’s statement correct, based on this sample information and your test?

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