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) Group 1: InternshipGroup 2: Co-opGroup 3: Work Studiy 11.75 14.25 14.5 10.5 15 17.75 13.75 13.25 12 12.75 13 11.25 12.25 8.75 9.75 12.75 9.75 15.5 13.5 13.5 10.5 14.5 14 10.5 12 Use technology to conduct a one-factor ANOVA to determine if the group means are equal using ? 0.02 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 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

Explanation / Answer

By using excel we can solve this question easily.

First, enter all data into excel.

Click on Data -------> Data Analysis--------> Anova: Single-Factor-----> Input Data -------> Select all data -------> Output Range : Select any empty cell --------> ok

We get

Group means.

Group 1: Internship: 11.53

Group 2: Co-op: 13.64

Group 3: Work study: 12.06

F-ratio: 2.436

p = 0.1089

P-value > 0.02 we fail to reject null hypothesis.

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

Anova: Single Factor SUMMARY Groups Count Sum Average Variance Group 1 9 103.75 11.53 3.053819 Group 2 9 122.75 13.64 4.517361 Group 3 9 108.5 12.06 5.809028 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 21.72685 2 10.86343 2.435708 0.108872 3.402826 Within Groups 107.0417 24 4.460069 Total 128.7685 26

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