The city of Tucson. Arizona, employs people to assess the value of homes for the

Question

The city of Tucson. Arizona, employs people to assess the value of homes for the purpose of establishing real estate tax. The city manager sends each assessor to the same five homes and then compares the results. The information is given below, in thousands of dollars Can we conclude that there is a difference in the assessors? Use the 0 05 significance level a. Is there a difference in the treatment means? (Round your answer to 2 decimal places.) b. Is there a difference in the block means? (Round your answer to 2 decimal places.)

Explanation / Answer

a) as critical F for treatments at 3 degree of freedom and 0.05 level of signficance =3.49

as F test =0.18 is less then critical value we can not reject null hypothesis

Decision : we can not conclude that there is a difference in treatment means. No

b)

as critical F for blocks at 3 degree of freedom and 0.05 level of signficance =3.26

as F test =21.72 is greater then critical value we can reject null hypothesis

Decision : we can conclude that there is a difference in blocks means. Yes

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