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Testing for population mean.

You conduct a survey of a sample of 25 members of this year's graduating students and find that the average GPA is 3.2. The standard deviation of the sample is 0.4. Over the last 10 years, the average GPA has been 3.0. Is the GPA of this year's students significantly different from the long-run average? At what alpha level would it be significant?  How would this information be useful to you if you were the college register?

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