Random samples of 12th-grade students from California, Utah, and New York were asked how long it took them to get to school (in minutes). StatCrunch output for an ANOVA is shown, along with the Tukey HSD confidence intervals. Using the confidence intervals, is it possible to determine which state has the longest travel time? Is there evidence that the states differ in their mean travel times? Explain.

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Analysis of Variance results: Data stored in separate columns. Column statistics Column • n+ Mean e Std. Dev. + Std. Error + CA 47 23.021277 17.624698 2.5708264 Utah 46 12.5 14.360053 2.1172742 NY 46 25.847826 22.685255 3.3447583 ANOVA table Source DF MS F-Stat P-value Columns 2 4558.2484 2279.1242 6.6335262 0.0018 Error 136 46726.414 343.57657 Total 138 51284.662 Tukey HSD results (95% level) CA subtracted from Difference Lower Upper P-value Utah -10.521277 -19.6311 -1.4114535 0.0191 NY 2.8265495 -6.2832736 11.936373 0.743 Utah subtracted from Difference Lower Upper P-value NY 13.347826 4.1891564 22.506496 0.0021