The following three independent random samples are obtained from three normally distributed populations with equal variance.  The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). Group 1: Internship Group 2: Co-op Group 3: Work Study 11.5 9.25 17.5 10.75 14.5 11.5 11.5 12 11 12 11.75 16 12.5 10.5 12.25 11 10.5 13 10.5 10.25 11.5 12 12.75 12.25 12 10.75 12.25 Use technology to conduct a one-factor ANOVA to determine if the group means are equal using α=0.01 Group means (report to 2 decimal places): Group 1: Internship:    Group 2: Co-op:    Group 3: Work Study:    ANOVA summary statistics: F-ratio =      (report accurate to 3 decimal places) p=     (report accurate to 4 decimal places) Conclusion: The sample data suggest the average starting hourly wages are not the same. There is not sufficient data to conclude the starting wages are different for the different groups.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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The following three independent random samples are obtained from three normally distributed populations with equal variance.  The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study).

Group 1: Internship Group 2: Co-op Group 3: Work Study
11.5 9.25 17.5
10.75 14.5 11.5
11.5 12 11
12 11.75 16
12.5 10.5 12.25
11 10.5 13
10.5 10.25 11.5
12 12.75 12.25
12 10.75 12.25



Use technology to conduct a one-factor ANOVA to determine if the group means are equal using α=0.01

Group means (report to 2 decimal places):
Group 1: Internship:   
Group 2: Co-op:   
Group 3: Work Study:   


ANOVA summary statistics:
F-ratio = 
    (report accurate to 3 decimal places)
p=
    (report accurate to 4 decimal places)

Conclusion:

  • The sample data suggest the average starting hourly wages are not the same.
  • There is not sufficient data to conclude the starting wages are different for the different groups.
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