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  3. the following three independent random samples are

The following three independent random samples are obtained from three normally distributed populations with equal variance....

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Statistics


The following three independent random samples are obtained fromthree normally distributed populations with equal variance. Thedependent variable is starting hourly wage, and the groups are thetypes of position (internship, co-op, work study).

Group 1: InternshipGroup 2: Co-opGroup 3: Work Study
9913.75
9.2512.7511.75
1211.511.25
11.7514.7516.25
12.258.7510
11.7510.511.5
109.7512.75
11.2510.7515.5

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

Use SPSS (or another statistical software package) to conduct aone-factor ANOVA to determine if the group means are equal usingα=0.05α=0.05. Though not specifically assessed here, you areencouraged to also test the assumptions, plot the group means, andinterpret 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:

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

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