Question: Wait-Times (Raw Data, Software Required): There are three registers at the local grocery store. I suspect the mean wait-times for the registers are different. The

Wait-Times (Raw Data, Software Required):

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. It gives the wait-times in minutes.

The Test:Complete the steps in testing the claim that there is a difference in mean wait-times between the registers.

(a) What is the null hypothesis for this test?

H₀:?₂>?₃>?₁.

H₀:?₁=?₂=?₃.

H₀:At least one of the population means is different from the others.

H₀:?₁??₂??₃.

(b) What is the alternate hypothesis for this test?

H₁:?₁=?₂=?₃.

H₁:?₂>?₃>?₁.

H₁:At least one of the population means is different from the others.

H₁:?₁??₂??₃.

(c) Use software to get the P-value of the test statistic (F).Round to 4 decimal places unless your software automatically rounds to 3 decimal places.

P-value =

(d) What is the conclusion regarding the null hypothesis at the0.10significance level?

rejectH₀

fail to rejectH₀

(e) Choose the appropriate concluding statement.

We have proven that all of the mean wait-times are the same.

There is sufficient evidence to conclude that the mean wait-times are different.

There is not enough evidence to conclude that the mean wait-times are different.

(f) Does your conclusion change at the0.05significance level?

Yes

Wait-Times (Raw Data, Software Required):There are three registers at the local grocery

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