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 work stud Group 1: InternshipGroup 2: Co-opGroup 3: Work Study 15.25 15.25 11.5 14.25 13.75 14.5 15.5 11.25 10.75 11.5 16.5 15.25 8.75 13.5 14.25 15 10.5 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 a 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) (report accurate to 4 decimal places) Conclusion: OThe sample data suggest the average starting hourly wages are not the same OThere is not sufficient data to conclude the starting wages are different for the different groups

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: 12.86

Coop: 14.29

Work study: 11.46

F - ratio = 2.799

p = 0.0874

Conclusion: Option B is correct.

Column n Mean Std. Dev. Std. Error Internship 7 12.857143 2.7266323 1.0305701 Coop 7 14.285714 1.3801311 0.52164053 Work Study 7 11.464286 2.3647964 0.89380902

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