Question 445106: Suppose that the average grade for all people who take this course in statistics is 83 with a standard deviation of 3.5.
If your particular class has an average of 89, can you conclude that your class is better than average at the 90 percent confidence level?
Label and describe each step of the hypothesis testing procedure, and be sure to specify whether this is a one-tailed or two-tailed test.
But with the sample size of 30.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Suppose that the average grade for all people who take this course in statistics is 83 with a standard deviation of 3.5.
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If your particular class has an average of 89, can you conclude that your class is better than average at the 90 percent confidence level?
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Label and describe each step of the hypothesis testing procedure, and be sure to specify whether this is a one-tailed or two-tailed test.
But with the sample size of 30.
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Ho: u <= 83
Ha: u > 83 (the question)
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This Ha implies the need for a right-tail test.
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If you conduct a Z-test:
Critical value = invNorm(0.9) = 1.2816
test stat: z(89) = (89-83)/[3.5/sqrt(30)] = 9.3900
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Conclusion: Since the test stat is in the reject interval,
reject Ho.
The test results support a positive answer to the question.
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Cheers,
Stan H.
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