Use One-way ANOVA to test the claim that the samples come from populations with

Question

Use One-way ANOVA to test the claim that the samples come from populations with the same mean. Assume that the populations are normally distributed with the same variance, a.) identify the hypotheses, b.) identify the claim, c.) compute the test statistic and the critical value or compute the p-value and d.) draw a conclusion. A consumer magazine wants to compare the lifetimes of ballpoint pens of three different types. The magazine takes a random sample of pens of each type in the following table. Do the data indicate that there is a difference in mean lifetime for the three brands of ballpoint pens' Use alpha = 0.01.

Explanation / Answer

H0: There is no significance difference between means of three brands

H1:There is a significance difference between means of three brands

alpha:1%

Test statistic:

We use One way ANOVA

F cal=1.619

Conclusion:

P value=0.2506 > 0.01, we do not reject the H0. Hence claim is not significant

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Brand1 4 881 220.25 966.9167 Brand2 4 801 200.25 1242.917 Brand3 4 949 237.25 330.9167 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 2744 2 1372 1.619994 0.250655 8.021517 Within Groups 7622.25 9 846.9167 Total 10366.25 11

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