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, at = 0.05? Assessor Home Zawodny Norman Cingle Holiday A $59 $52 $44 $43 B 59 55 56 56 C 47 54 47 53 D 73 64 61 63 E 82 83 94 86

Is there a difference in the treatment means, at = .05? (Round your answer to 2 decimal places.)

Is there a difference in the block means, at = .05? (Round your answer to 2 decimal places.)

(a)

Is there a difference in the treatment means, at = .05? (Round your answer to 2 decimal places.)

Explanation / Answer

Sol)

Ho: all the Five treatment means are equal

H1: All the five group treatment means are different

Level of significance: 5%

Test statistic:

We Use One way ANOVA (F test)

From Excel

From above analysis

F cal=33.94

and P value=0.000000236

Conclusion: P value < 0.05 , we reject the null hypothesis. Hence the results are significant at 5% level

Anova: Single Factor SUMMARY Groups Count Sum Average Variance A 4 198 49.5 56.33333 B 4 226 56.5 3 C 4 201 50.25 14.25 D 4 261 65.25 28.25 E 4 355 88.75 52.91667 ANOVA Source of Variation SS df MS F P-value F crit Between Groups 4202.7 4 1050.675 33.9475 2.36E-07 3.055568 Within Groups 464.25 15 30.95 Total 4666.95 19

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