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Hypothesis Testing: Significance Difference in GPAs

You conduct a survey of a sample of 25 members of this year's graduating marketing 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?

Solution Preview

We will test

Null hypothesis H0: mu=3.0
Alternative hypothesis Ha: mu is not equal 3.0

Given the sample mean xbar=3.2, sample standard deviation s=0.4 and sample size n=25. We can use ...

Solution Summary

This solution provides step by step calculations for hypothesis testing.