The following side-by-side box plots show the prices (in thousands) of 48 houses in Corvallis, OR. The houses are divided into age categories: N = New (0-24 years old), M = Medium (25-50 years old), O = Old (50-75 years old), and VO = Very Old (75+ years old). Each category contains 12 randomly selected homes. 500-

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Q2 ANOVA
The following side-by-side box plots show the prices (in thousands) of 48 houses in Corvallis,
OR. The houses are divided into age categories: N = New (0-24 years old), M = Medium (25-50
years old), O = Old (50-75 years old), and VO = Very Old (75+ years old). Each category contains
12 randomly selected homes.
House Price in Thousands
500-
400-
300
200-
100-
Q2.1
M
ó
Age Category
vo
TRUE or FALSE: All categories contain at least one outlier.
O True
O False
Transcribed Image Text:Q2 ANOVA The following side-by-side box plots show the prices (in thousands) of 48 houses in Corvallis, OR. The houses are divided into age categories: N = New (0-24 years old), M = Medium (25-50 years old), O = Old (50-75 years old), and VO = Very Old (75+ years old). Each category contains 12 randomly selected homes. House Price in Thousands 500- 400- 300 200- 100- Q2.1 M ó Age Category vo TRUE or FALSE: All categories contain at least one outlier. O True O False
Q2.2
TRUE or FALSE: The median house price for each category is less than $400,000.
O True
O False
Q2.3
State the alternative hypothesis used to test whether there is a difference in average house
price for the four age categories.
O The average house price for each age category is equal to 0.
O All of the average house prices for the four age categories differ from one another.
O At least two age categories differ in average house price.
O The average house prices for all four age categories are equal.
Q2.4
Below is the R output for the ANOVA F test.
`Age Category`
Residuals
Df Sum Sq Mean Sq F value Pr (>F)
20649
0.423
3
44 317444
The average variation between age categories is
6883
7215
Transcribed Image Text:Q2.2 TRUE or FALSE: The median house price for each category is less than $400,000. O True O False Q2.3 State the alternative hypothesis used to test whether there is a difference in average house price for the four age categories. O The average house price for each age category is equal to 0. O All of the average house prices for the four age categories differ from one another. O At least two age categories differ in average house price. O The average house prices for all four age categories are equal. Q2.4 Below is the R output for the ANOVA F test. `Age Category` Residuals Df Sum Sq Mean Sq F value Pr (>F) 20649 0.423 3 44 317444 The average variation between age categories is 6883 7215
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