A particular county employs three assessors who are responsible for determining the value of residential property in the county. To see whether these assessors differ systematically in theirassessments, 5 houses are selected, and each assessor is asked to determine the market value of each house. With factor A denoting assessors (I= 3) and factor B denoting houses (J= 5),suppose SSA 11.6, SSB = 113, and SSE = 25.5.(a) Test Ho: a₁ = ₂ = a3 = 0 at level 0.05. (Ho states that there are no systematic differences among assessors.)Calculate the test statistic. (Round your answer to two decimal places.)f=What can be said about the P-value for the test?OP-value > 0.1000.050 < P-value < 0.1000.010 < P-value<< 0.0500.001 < P-value < 0.010OP-value < 0.001AState the conclusion in the problem context.O Reject Ho. The data suggests that there are systematic differences among assessors.O Fail to reject Ho. The data suggests that there are systematic differences among assessors.O Reject Ho. The data does not suggest that there are systematic differences among assessors.O Fail to reject Ho. The data does not suggest that there are systematic differences among assessors.(b) Explain why a randomized block experiment with only 5 houses was used rather than a one-way ANOVA experiment involving a total of 15 different houses with each assessor asked toassess 5 different houses (a different group of 5 for each assessor)

It is required to determine the F-test statistic, P-value, and identify the correct conclusion.

A particular county employs three assessors who are responsible for determining the value of residential property in the county. To see whether these assessors differ systematically in their assessments, 5 houses are selected, and each assessor is asked to determine the market value of each house. With factor A denoting assessors (1= 3) and factor B denoting houses (J= 5), suppose SSA 11.6, SSB 113, and SSE = 25.5. (a) Test Ho: a₁ = a₂ a3 = 0 at level 0.05. (Ho states that there are no systematic differences among assessors.) Calculate the test statistic. (Round your answer to two decimal places.) f= What can be said about the P-value for the test? OP-value> 0.100 0.050 < P-value < 0.100 0.010 < P-value< 0.050 0.001 < P-value < 0.010 OP-value < 0.001 ▸ State the conclusion in the problem context. O Reject Ho. The data suggests that there are systematic differences among assessors. Fail to reject Ho. The data suggests that there are systematic differences among assessors. O Reject Ho. The data does not suggest that there are systematic differences among assessors. O Fail to reject Ho- The data does not suggest that there are systematic differences among assessors. (b) Explain why a randomized block experiment with only 5 houses was used rather than a one-way ANOVA experiment involving a total of 15 different houses with each assessor asked to assess 5 different houses (a different group of 5 for each assessor).

4th Edition

ISBN:9781285463247

Author:David Poole

Publisher:David Poole

Chapter2: Systems Of Linear Equations

Section2.4: Applications

Problem 28EQ