Question

1. (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

1. (10pt) You are hired as statistician to test whether there are any differences among the regions regarding vacancy rates and you should allow for 10% error.

2. (3pt) Do you think that the mean vacancy rate is the same for these regions? Why?

Answer 1

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