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# Lecture 6 - ANOVA Comparing Means Across Populations...

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ANOVA Comparing Means Across Populations

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Announcements Conflict with midterm? Email by 2/15/08 MWF: Lecture on ANOVA Assignment 3 due 2/11 at 10 pm
Do students admitted to the COB have the same high school GPA as those who are not admitted? Population Students who applied and are admitted Students who applied and were not admitted Sample 474 admits, Fall 2005 187 non admits, Fall 2005

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Hypothesis H 0 : μ A - μ N = 0 H A : Where μ A is the mean high school GPA of admitted students and μ N is the mean high school GPA of non-admitted students
Which statistical method could we use to test this hypothesis? (multiple answers are possible) A) Chi-square B) ANOVA C) Two sample t-test D) Test for equality of proportions

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Summary Statistics Admits Nonadmits 3.5726 0.404 482 A A A x s N = = = 3.400 0.424 187 N N N x s N = = =
Minitab command

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Minitab Output Sample N Mean StDev SE Mean 1 482 3.573 0.404 0.018 2 187 3.400 0.424 0.031 Difference = mu (1) - mu (2) Estimate for difference: 0.1726 95% CI for difference: (0.1017, 0.2435) T-Test of difference = 0 (vs not =): T-Value = 4.79 P-Value = 0.000 DF = 324
Interpretation of Confidence Interval

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What’s the sampling distribution?
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Lecture 6 - ANOVA Comparing Means Across Populations...

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