in-Class ANOVA Review for Test #3 One-Way Within Subjects ANOVA A manager wishes

Question

in-Class ANOVA Review for Test #3 One-Way Within Subjects ANOVA A manager wishes to determine whether the mean times required to complete a certain task differ for the three levels of employee training. He randomly selected 10 employees with each of the three levels of training (Beginner, Intermediate and Advanced). Do the data provide sufficient evidence to indicate that the mean times required to complete a certain task differ for at least two of the three levels of training? The data is summarized in the table. Level of Training Advanced 10 24.2 21.54 Intermediate 10 27.1 18.64 Beginner 10 30.2 17.76 What are Ho and H? Complete the ANOVA Table - fill in the required missing information MS 90 df Source Between 522 Error Total What is your Statistical Decision? What is your Conclusion? What other follow-up would you need to do? What do you find?

Explanation / Answer

H0: mu1 = mu2 = mu3

H1: at least two of the mu are not equal

ANOVA table:

p-value = 0.0002

Reject null hypothesis.

There are evidence that all means are not equal

Source SS df MS F Between 180 2 90 4.655172 Error 522 27 19.33333 Total 29

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