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A study is done to determine if there is a significant difference in average GPA between...

A study is done to determine if there is a significant difference in average GPA between College A and College B. College A has a mean GPA = 3.05 and 95% confidence interval of (2.95, 3.15). College B has a mean GPA = 2.90 and 95% confidence interval of (2.80, 3.00). Is there a difference in average GPA between College A and College B? Why or why not?

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Answer #1

At 95% confidence level the confidence interval of mean GPA for College A is ( 2.95,3.15 ) and college B is ( 2.80,3.00 )

Which indicates that there is some points where this two confidence interval coincides . That means there is some points which can be in both the Intervals . Like the point 2.96 .

2.96 can be population mean GPA for both colleges .

So at 95% level of confidence we can't say that there is a difference in average GPA between college A and College B .

There is not a difference between average GPA of college A and College B

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