# ANOVAhw - Problem Definition We want to know if the average...

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Problem Definition: We want to know if the average GPAs for freshman, sophomore, junior, and senior business students are the same. Alpha is .05. Hypothesis: H 0 : µ 1 2 = µ 3 4 H 1 : The average GPAs are not equal Decision Rule: If the F test statistic exceeds 3.07, reject the null of equal means. Test: One-way ANOVA: Freshman, Sophomore, Junior, Senior Source DF SS MS F P Factor 3 1.818 0.606 2.36 0.100 Error 21 5.381 0.256 Total 24 7.199 S = 0.5062 R-Sq = 25.25% R-Sq(adj) = 14.57% Individual 95% CIs For Mean Based on Pooled StDev Level N Mean StDev +---------+---------+---------+--------- Freshman 5 2.4840 0.6240 (---------*--------) Sophomore 7 2.9157 0.6265 (-------*-------) Junior 7 3.2271 0.2826 (-------*-------) Senior 6 3.1300 0.4447 (--------*-------) +---------+---------+---------+--------- 2.00 2.50 3.00 3.50 Pooled StDev = 0.5062 Conclusion: The F critical ratio, 2.36, is smaller than 3.07, the critical value. Therefore, we fail to reject the null hypothesis and accept the possibility of a Type 2 error. This is consistent with a

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ANOVAhw - Problem Definition We want to know if the average...

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