Question 144416: The manager of a software company is studying the number of hours/week that senior executives spend at their
destop computers. There are three industries that he has data for and these are listed under Banking, Retail, and Insurance.
The sample size is n = 5 senior managers from each of the industries and the times listed are shown in the table below.
ANOVA Problem:
At the 0.05 significance level, can the software manager doing the study conclude
that there is a difference in the mean number of hours spent per week by industry?
Banking Retail Insurance
12 8 10
10 8 8
10 6 6
12 8 8
10 10 10
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! At the 0.05 significance level, can the software manager doing the study conclude
that there is a difference in the mean number of hours spent per week by industry?
Banking Retail Insurance
12 8 10
10 8 8
10 6 6
12 8 8
10 10 10
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Ho: u1 = u2 = u3
Ha: at least one of the means is different
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I ran ANOVA on the data using a TI calculator and got the following results:
F = 5.73
p-value = 0.01788..
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Conclusion: Since the p-value is less than 5%, reject Ho.
At least one of the means is different.
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Cheers,
Stan H.
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