The following three independent random samples are obtained from three normally

Question

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).

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

Group 1: Internship Group 2: Co-op Group 3: Work Study 11 9.25 9.5 11.25 11 11.25 9.25 12.25 12.5 10 12.5 11 11.25 10.5 13.75 8.5 11 9.25 12 12.25 11.75 11.5 12.75 11 10.5 12.75 13 9.75 12.25 12 10.5 10.75 10.75

Explanation / Answer

The statistical software output for this problem is:

Analysis of Variance results:
Data stored in separate columns.

Column statistics

ANOVA table

Hence,

Group means:

Internship: 10.5

Co-op: 11.57

Work study: 11.43

F-ratio = 2.615

p = 0.0898

There is not sufficient data to conclude the starting wages are different for the different groups.

Column n Mean Std. Dev. Std. Error Group 1: Internship 11 10.5 1.0488088 0.31622777 Group 2: Co-op 11 11.568182 1.1351812 0.34227001 Group 3: Work Study 11 11.431818 1.3697213 0.4129865

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