There are three different ways I can go to work in the morning. I want to see if there is a difference in mean travel-times between the three different ways. The sample data is depicted below. The second table displays results from an ANOVA test on this data with software. I claim there is a difference in mean travel-times between the three different routes.

	Travel Time in Minutes						$\bar x$
Interstate	20	20	26	24	22	23	22.5
Route 15	20	20	22	22			21
Back Roads	21	21	17	21	19		19.8

ANOVA Results
$F$	$P$-value
2.72235	0.105952

(a) Test my claim at the 0.05 significance level.

There is sufficient evidence to conclude that the population means are not equal.
Yes
No

(b) Does your conclusion change at the 0.10 significance level?
Yes
No