The city of Tucson, Arizona, employs people to assess the value of homes for the
ID: 3312240 • Letter: T
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.
Is there a difference in the treatment means? (Round your answer to 2 decimal places.)
Is there a difference in the block means? (Round your answer to 2 decimal places.)
References
Worksheet
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.
Explanation / Answer
Result:
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.
Home
Zawodny
Norman
Cingle
Holiday
A
55
54
47
44
B
50
54
54
57
C
45
59
43
55
D
77
65
64
62
E
81
83
99
84
a.
Is there a difference in the treatment means? (Round your answer to 2 decimal places.)
The computed F value is 0.11 .
Decision: There is not a difference in the treatment means.
b.
Is there a difference in the block means? (Round your answer to 2 decimal places.)
The computed F is 19.13 .
Decision: There is a difference in the block means.
Randomized blocks ANOVA
Mean
n
Std. Dev
61.600
5
16.334
Zawodny
63.000
5
12.062
Norman
61.400
5
22.479
Cingle
60.400
5
14.741
Holiday
50.000
4
5.354
A
53.750
4
2.872
B
50.500
4
7.724
C
67.000
4
6.782
D
86.750
4
8.261
E
61.600
20
15.486
Total
ANOVA table
Source
SS
df
MS
F
p-value
Treatments
17.20
3
5.733
0.11
0.9515
Blocks
3,924.30
4
981.075
19.13
0.0000
Error
615.30
12
51.275
Total
4,556.80
19
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.
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