Question 455996: At Oxnard University, a sample of 25 senior accounting majors showed a mean cumulative GPA of 3.25 with a standard deviation of 0.15. At α = .05 in a two-tailed test, does this differ significantly from 3.20 (the mean GPA for all business school seniors at the university)?
what steps or distribution should I use in Megastat, please? I don't feel like I am completing this correctly.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! At Oxnard University, a sample of 25 senior accounting majors showed a mean cumulative GPA of 3.25 with a standard deviation of 0.15.
At α = .05 in a two-tailed test, does this differ significantly from 3.20 (the mean GPA for all business school seniors at the university)?
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Ho: u(all) - u(ox) = 0
Ha: u(all) - u(ox) is not 0
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test stat: t(3.25) = (3.25-3.2)/[0.15/25] = 1.6667
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p-value = 2*P(t > 1.667 when df = 24) = 2*tcdf(1.667,100,24) = 0.1085
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Conclusion: Since the p-value is greater than 5%, fail to reject Ho.
The test results support the equality of the mean values at the
5% level of significance.
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Cheers,
Stan H.
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