ANOVA table Post hoc analysis
Tukey simultaneous comparison t-values
The Excel/MegaStat output given above summarizes the results of a one-way analysis of variance in an attempt to compare the performance characteristics of four brands of vacuum cleaners. The response variable is the amount of time it takes to clean a specific size room with a specific amount of dirt.
At a significance level of .05, we would
A) not be able to reject the null hypothesis of equal population means.
B) reject the null hypothesis of equal population means.
C) reject or fail to reject depending on the value of the t statistic.
D) not be able to decide whether or not to reject the null hypothesis due to insufficient information.

Question

ANOVA table  Post hoc analysis
Tukey simultaneous comparison t-values
 The Excel/MegaStat output given above summarizes the results of a one-way analysis of variance in an attempt to compare the performance characteristics of four brands of vacuum cleaners. The response variable is the amount of time it takes to clean a specific size room with a specific amount of dirt.
At a significance level of .05, we would
A) not be able to reject the null hypothesis of equal population means. 
B) reject the null hypothesis of equal population means. 
C) reject or fail to reject depending on the value of the t statistic. 
D) not be able to decide whether or not to reject the null hypothesis due to insufficient information.

Quizplus · Accepted Answer

Since the p-value for the calculated F statistic is less than the alpha value of 0.05 we reject the null hypothesis.

ANOVA Table Post Hoc Analysis