Question

Family transportation costs are usually higher than most people believe. Eighteen randomly selected families in three 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. Use α=0.05

Edmonton: 650,480,550,600,675,540

Toronto: 250,525,300,175,500,450

Vancouver: 850,700,950,780,600,675

(i) Report your Levene's test of equal variance test statistic value. Use two decimal places.

(ii) Report the P−value of your Levene's test of equal variance. Use three decimal places.

(d) Complete the following one-way ANOVA table.

Source	Degrees of Freedom	Sum of Squares	Mean Square	F	P−P−value
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Total	equation editor Equation Editor

(f) Suppose that there is a significant overall difference. Use the Tukey's tests to find which pair of average transportation costs are significantly different. Use α=0.05α=0.05.

(i) What is the proper value from the Tukey table q=q(k,n−k)q=q(k,n−k) also called the studentized range distribution you used to calculate the Tukey's test statistic value? Use two decimal places.

(ii) What is the critical value for the differences (using the Tukey test)? Use three decimal places.q2√MSE(1ni+1nj)−−−−−−−−−−−−−√q2MSE(1ni+1nj)

(iii) Use 1 decimal place, the absolute differences for all three possible pairwise comparisons are given by:

|x¯Edmonton−x¯Toronto|=|x¯Edmonton−x¯Toronto|=

|x¯Edmonton−x¯Vancouver|=|x¯Edmonton−x¯Vancouver|=

|x¯Toronto−x¯Vancouver|=|x¯Toronto−x¯Vancouver|=

Answer 1

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