Question 581394: The mean SAT math reasoning score in 2009 was 515.3 with a standard deviation of 114.1. An educational psychologist believes that students who take at least 4 years of English in high school perform better on the exam. To test the hypothesis, she obtains a random sample of 40 student (with 4 years of English) and their mean score was 540. Test the claim at "alpha" = 0.05.
I am so lost on this one.
Thank you
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The mean SAT math reasoning score in 2009 was 515.3 with a standard deviation of 114.1. An educational psychologist believes that students who take at least 4 years of English in high school perform better on the exam. To test the hypothesis, she obtains a random sample of 40 student (with 4 years of English) and their mean score was 540. Test the claim at "alpha" = 0.05.
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Ho: u <= 515.3
Ha: u > 515.3 (claim)
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z(540) = (540-515.3)/[114.1/sqrt(40)] = 1.3691
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p-value = P(z > 1.3691) = 0.0855
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Since the p-value is greater than 5%, fail to reject Ho.
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The test results do not support the claim.
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Cheers,
Stan H.
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