There are three registers at the local grocery store. I suspect the mean wait-times for the registers are different. 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 wait-times between the registers.

Wait-times in Minutes
Register 12.521.61.41.40.90.71.61.5125
Register 222.21.81.82.31.81.91.91.9625
Register 31.6221.71.61.62.21.51.775

ANOVA Results
-value
2.858870.0797823

(a) Test my claim at the 0.10 significance level.

There is sufficient evidence to conclude that the population means are not equal.

(b) Does your conclusion change at the 0.05 significance level?

You can earn partial credit on this problem.