# solution

You have gathered data on the amount of time people spend walking each day. You want to compare differences in three neighbourhoods. Below is your data: Scarborough Bluffs: 40, 50, 60, 70 Vaughn: 0, 0, 10, 10, 20, Georgetown: 20, 20, 20, 10, 30

A. What is the null hypothesis? Write it out. (5 pts) B. What are the means for each neighbourhoood? (3 pts) C. What is the variance for each neighborhood? (12 pts) D. What is the n value for each neighbourhood? (3 pts) E. What is the overall n value you and the overall mean? (2 pts) F. Calculate the Between Sum of Squares (BSS) (5 pts). G. Calculate the Within Sum of Squares (WSS) (5 pts) H. Using the above answers, calculate your data’s F-statistic (5 points) I. What critical values, or values from the F-statistic table, will you compare your data’s F-stat against? Report them for a significance level of .10 one-sided, a significance level of .05 one-sided, and a significance level of .01 one-sided. Note: this means you do not have to divide alpha by 2, because I am asking for one-tailed in this case. (9 points) J. For each level of significance, can you reject the null hypothesis? Please provide a yes or no answer for all three. (6 points)

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