B7. An estate agent wants to test whether mean house prices are the same regardless of which of 3 air-pollution levels typically prevails in the area. A random sample of house purchases in 3 areas yields the price data below: House purchase prices (in thousands of pounds) Pollution level Low Moderate High 120 61 40 68 59 55 40 110 73 95 75 45 83 80 64 Construct an ANOVA table to test, at the 2.5% level of significance, whether mean housing prices differ by level of pollution.

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B7. An estate agent wants to test whether mean house prices are the same regardless of
which of 3 air-pollution levels typically prevails in the area. A random sample of house
purchases in 3 areas yields the price data below:
House purchase prices (in thousands of pounds)
Pollution level
Low Moderate High
120
61
40
68
59
55
40
110
73
95
75
45
83
80
64
Construct an ANOVA table to test, at the 2.5% level of significance, whether mean
housing prices differ by level of pollution.
Hint: You may need to use one of these percentiles, F2,12(2.5%) = 5.096, F12,2(2.5%) =
39.415, F3,12(2.5%) = 4.474, F12,3(2.5%) = 14.337.
%3D
Transcribed Image Text:B7. An estate agent wants to test whether mean house prices are the same regardless of which of 3 air-pollution levels typically prevails in the area. A random sample of house purchases in 3 areas yields the price data below: House purchase prices (in thousands of pounds) Pollution level Low Moderate High 120 61 40 68 59 55 40 110 73 95 75 45 83 80 64 Construct an ANOVA table to test, at the 2.5% level of significance, whether mean housing prices differ by level of pollution. Hint: You may need to use one of these percentiles, F2,12(2.5%) = 5.096, F12,2(2.5%) = 39.415, F3,12(2.5%) = 4.474, F12,3(2.5%) = 14.337. %3D
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