Test the claim that the population of sophomore college students has a mean grad

Question

Test the claim that the population of sophomore college students has a mean grade point average of 2.24 versus a mean grade point average greater than 2.24 sample statistics include n = 23, bar x = 2.38, and s = 0.8. Use a significance level of alpha = 0.01. The test statistic is 839 The critical value is 2.33 The final conclusion is There is sufficient evidence to support the claim that the mean grade point average is greater than 2.24. There is not sufficient evidence to support the claim that the mean grade point average is greater than 2.24.

Explanation / Answer

Answer to the question:

t = (2.38-2.24)/(.8/sqrt(23)) = .839

The critical value is (based on t and not Z since n<30) = 2.819

The conclusion is B. There is not sufficient evidence to support the claim that the mean grade point average is greater than 2.24

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