Question
In: Math
) The U.S. Census Bureau computes quarterly vacancy and homeownership rates by state and metropolitan statistical...
) The U.S. Census Bureau computes quarterly vacancy and homeownership rates by state and metropolitan statistical areas. The following data are the rental vacancy rates in percentage (%) grouped by region for the first quarter of 2019 using a sample of 4 statistical metropolitan areas.
Vacancy rates (%)
Region Northeast South West
1 6 12 8
2 5 9 10
3 9 11 8
4 4 8 6
Sample Mean Sample 6 10 8
Variance 4.7 3.3 2.7
a.(10pt) Perform an ANOVA test to find if there are vacancy rates differences among the regions. Allow 1% error on your test.
b. (5pt) Do you think that the mean vacancy rate is the same for these regions? Why?
Solutions
Expert Solution
Using Minitab software, (Stat -> ANOVA -> One way),we get the following output :
Now,
The value of F statistic = 4.5
and P-value = 0.044
Since P-value > 0.01, so we fail to reject H0 at 1% level of significance and we can conclude that there is no significant difference in vacancy rates among the regions.
milcah answered 1 year agoRelated Solutions
(13pt) The U.S. Census Bureau computes quarterly vacancy and homeownership rates by state and metropolitan statistical...
(13pt) The U.S. Census Bureau computes quarterly vacancy and
homeownership rates by state and metropolitan statistical areas.
The following data are the rental vacancy rates in percentage (%)
grouped by region for the last quarter of 2018 using a sample of 4
statistical metropolitan areas.
Vacancy rates (%)
Region
Northeast
South
West
1
7
5
8
2
6
9
10
3
9
11
8
4
7
8
8
sample mean
7.3
8.3
8.5
sample variance
1.2
4.7
0.8
(10pt)...
The U.S. Census Bureau computes quarterly vacancy and homeownership rates by state and metropolitan statistical areas....
The U.S. Census Bureau computes quarterly vacancy and
homeownership rates by state and metropolitan statistical areas.
The following data are the rental vacancy rates in percentage (%)
grouped by region for the last quarter of 2018 using a sample of 4
statistical metropolitan areas.
Vacancy rates (%)
Region
Northeast
South
West
1
7
5
8
2
6
9
10
3
9
11
8
4
7
8
8
sample mean
7.3
8.3
8.5
sample variance
1.2
4.7
0.8
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