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Family transportation costs are usually higher than most people believe because those costs include car payments, insurance, fuel costs, repairs, parking, and public transportation. Twenty randomly selected families in four major cities are asked to use their records to estimate a monthly figure for transportation cost. Use the data obtained and ANOVA to test whether there is a significant difference in monthly transportation costs for families living in these cities. Assume that α= .05. Discuss the business implications of your findings.

 

Atlanta


New York


Los Angeles


Chicago

 

650


250


850


540

 

480


525


700


450

 

550


300


950


675

 

600


175


780


550

 

675


500


600


600

Mean


591


350


776


563

Variance


6155


24062.5


18130


6845

Showing all of your equations and calculations, answer the following problems:

What is the between treatments estimate of population variance?
What is the within treatments estimate of population variance?
What is the value of the test statistic?
What are the p-value range and the critical value?
Based on the rejection rules for p-value and critical value, what is your statistical and English conclusion?
Summarize your results in an ANOVA table.

 

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