Question 1037837: A psychologist believes that if classical music is played during a test, test scores will increase. In the past, the mean test score was 60. A random sample of 49 individuals wrote the test while classical music was in the background. The sample results showed a mean test score of 62 and a standard deviation of 6.3. Using a 5% level of significance with classical music? formulate and test the appropriate hypotheses. Using critical value approach
Answer by stanbon(75887)   (Show Source):
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Probability-and-statistics/1037837 (2016-06-10 16:43:58): A psychologist believes that if classical music is played during a test, test scores will increase. In the past, the mean test score was 60. A random sample of 49 individuals wrote the test while classical music was in the background. The sample results showed a mean test score of 62 and a standard deviation of 6.3. Using a 5% level of significance with classical music? formulate and test the appropriate hypotheses. Using critical value approach
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Ho:: u <= 60
Ha:: u > 60 (claim)
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x-bar = 62
test statistic:: t(62) = (62-60)/6.3/sqrt(49) = 2.2222
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Critical value:: invT(0.95,48) = 1.677
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Conclusion:: Since the test statistic is in the reject interval,
reject Ho.
The test results support the claim.
Cheers,
Stan H.
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