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 6 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? Test with alpha = .05. The data is summarized in the table below:
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 6 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? Test with alpha = .05. The data is summarized in the table below:
|
Level of Training |
Time to Complete Task in Hours |
|
Advanced |
1, 2, 2, 3, 4, 4 |
|
Intermediate |
1, 1, 2, 2, 3, 4 |
|
Beginner |
3, 3, 4, 5, 5, 7 |
|
Advanced Intermediate Beginner M1= 2.67 M2= 2.17 M3= 4.50 T1= 16 T2= 13 T3= 27 SS1=7.33 SS2= 6.83 SS3= 11.5
G = 56 ∑X2total = 218
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What is the appropriate test statistic to analyze this? Explain why.
Write the null and alternate hypothesis
Calculate the needed degrees of freedom. What is the relevant critical value? (hint use the appropriate table to find this)
The obtained test statistic was 5.29. Intrepret this finding. What does in mean in relation to the study?
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