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).
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).
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter2: Working With Real Numbers
Section2.4: Subtracting Real Numbers
Problem 6P
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Transcribed Image Text: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 (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 > 0.100
0.050 < P-value < 0.100
0.010 < P-value<< 0.050
0.001 < P-value < 0.010
OP-value < 0.001
A
State 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 to
assess 5 different houses (a different group of 5 for each assessor)
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