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).

Group 1: Internship	Group 2: Co-op	Group 3: Work Study
15	14.75	14.25
17.25	9.75	15.5
13	15.25	16.25
16.75	14	13.5
13	14.25	13.75
13	16	15.75
15.25	9.5	15.25
17.5	12	16.75

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=0.05. 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=
(report accurate to 4 decimal places)

Conclusion:

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

b. The sample data suggest the average starting hourly wages are not the same.

Answer 1

Group means (report to 2 decimal places):
Group 1: Internship: 15.0937
Group 2: Co-op:13.1875
Group 3: Work Study:15.125


ANOVA summary statistics:

F-ratio =2.6077
(report accurate to 3 decimal places)
p=0.0974
(report accurate to 4 decimal places)

Conclusion:

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

Detailed calculation is given below