Question

This problem is based on problems 11.4 & 11.5 from Lomax & Hahs-Vaughn, 3rd ed.

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	12.5	10
13	11.75	14
12.25	12	14.75
11.75	11.5	12.5
11.75	11.25	13.75
14	11.5	12.25
11	10.5	12.5
9.25	12.25	15
12	11.5	11.75
12.5	13.25	15
13.75	11.5	12

Do not forget to convert this table from parallel format (i.e., groups in each column) to serial format for analysis in SPSS.

Use SPSS (or another statistical software package) to conduct a one-factor ANOVA to determine if the group means are equal using α=0.02α=0.02. Though not specifically assessed here, you are encouraged to also test the assumptions, plot the group means, and interpret the results.

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=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.

Answer 1

Solution:

We have to SPSS to find the answers to the given questions. The steps to be followed in SPSS are:

Enter the data in SPSS as:

Click on Analyze > Compare means > One-Way ANOVA.

Move Data to dependent list and Group to Factor and press Ok

The SPSS output is given below:

Group means (report to 2 decimal places):
Group 1: Internship: 12.02
Group 2: Co-op: 11.77
Group 3: Work Study: 13.05


ANOVA summary statistics:
F-ratio = 5.002
(report accurate to 3 decimal places)
p = 0.0599
(report accurate to 4 decimal places)

Conclusion:

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