Question: H 0 : 1 = 2 = 3 = 4 = 5 H a : Not all are equal Data were collected from a random

H0: 1 = 2 =3 = 4 =5 Ha: Not all are equal

Data were collected from a random sample. The hypotheses above were tested using Minitab. All assumptions for a one-way analysis of variance (ANOVA) were met.

Source DF Adj SS Adj MS F-Value P-Value
Group 3 652.6 217.546 2.69 0.0491
Error 137 11098.7 81.012
Total 140 11751.3

S R-sq R-sq(adj) R-sq(pred)
9.00067 5.55% 3.49% 0.00%

Factor N Mean StDev 95% CI
Group A 36 15.750 7.530 (12.784, 18.716)
Group B 36 19.917 10.344 (16.950, 22.883)
Group C 36 17.972 8.677 (15.006, 20.939)
Group D 33 21.545 9.244 (18.447, 24.644)

Pooled StDev = 9.00067

At the 0.05 alpha level, should we reject or fail to reject the null hypothesis?

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