(13pt) The U.S. Census Bureau computes quarterly vacancy and homeownership rates by state and metropolitan statistical...

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Statistics

  1. (13pt) The U.S. Census Bureau computes quarterly vacancy andhomeownership 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 4statistical 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 areany differences among the regions regarding vacancy rates and youshould allow for 10% error.
  1. (3pt) Do you think that the mean vacancy rate is the same forthese regions? Why?

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