A researcher designs a study to test the hypotheses ?0: ? = 28 versus ??: ? < 28. A random sample of 50 measurements from the population of interest yields y=25.9 and s=5.6. Using a=0.05: a)  What is the value of the test statistic? b)  If the classical approach is used, which decision rule do you use? c)  What is your conclusion of this hypothesis test? d)  If a p-value approach is required, what is the p-value equal to?

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A researcher designs a study to test the hypotheses ?0: ? = 28 versus ??: ? < 28. A random sample of 50 measurements from the population of interest yields y=25.9 and s=5.6. Using a=0.05:

  1. a)  What is the value of the test statistic?

  2. b)  If the classical approach is used, which decision rule do you use?

  3. c)  What is your conclusion of this hypothesis test?

  4. d)  If a p-value approach is required, what is the p-value equal to?

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