The engineer can use this estimate of the difference to determine whether the difference is practically significant. This range does not include zero, which indicates that the difference between these means is significant. The graph and the table that include the Tukey simultaneous confidence intervals show that the confidence interval for the difference between the means of Blend 2 and 4 is 3.114 to 15.886. The engineer uses the Tukey comparison results to formally test whether the difference between a pair of groups is statistically significant. ![]() The engineer knows that some of the group means are different. This result indicates that the mean differences between the hardness of the paint blends is statistically significant. The p-value for the paint hardness ANOVA is less than 0.05.
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