A psychologist compares mean exam scores across three sleep conditions (4 hours, 6 hours, 8 hours). SPSS outputs:
Levene’s Test of Equality of Error Variances: F = 1.58, p = .211 One-Way ANOVA: F(2, 87) = 5.43, p = .006
Which conclusion is MOST correct at α = .05?
The homogeneity of variances assumption is violated, so the ANOVA result cannot be interpreted.
There is a statistically significant difference in mean exam scores among the sleep groups, and the equal-variances assumption looks reasonable; post-hoc tests are needed to see which groups differ.
Because there are three groups, you must run multiple independent-samples t-tests instead of ANOVA.
The ANOVA is significant, so all three sleep groups differ from each other.