The US Census Bureau computes quarterly vacancy and homeowne

The U.S. Census Bureau computes quarterly vacancy and homeownership rates by state and metropolitan statistical area. Each metropolitan statistical area (MSA) has at least one urbanized area of 50,000 or more inhabitants. The following data are the rental vacancy rates (%) for MSAs in four geographic regions of the United States for the first quarter of 2008 (U.S. Census Bureau website, January 2009). Click on the webfile logo to reference the data WEB file West 7.9 6.6 6.9 Midwest 16.2 10.1 8.6 12.3 10.0 16.9 16.9 Northeast 2.7 11.5 6.6 South 16.6 12.1 9.8 5.3 10.7 8.6 15.2 9.4 11.6 15.6 18.3 13.4 4.0 12.3 3.6 11.0 12.1 12.7 18.1 11.9 11.0 9.6 1.7 3.6 11.5 16.3 11.4 13.1 4.4 12.2 13.6 24.0 12.2 22.6 12.0 12.6 10.1 Use = .05 to test whether there the mean vacancy rate is the same for each geographic region a. Complete the following ANOVA table (to 1 decimals, if necessary) Source DF Sum of Squares Mean Square F Factor Error Total b. The p-value is Select

Solution

The Anova table for the given data is

b) The P-value is = FDist(7.41,3,71)= 0.000218

c) Here P-value is less than 0.05 , reject the null hypothesis

Hence The mean vacancy rate is not same for each geographic region.

ANOVA table
Source	df	SS	MS	F	p-value
Treatment	3	376.872	125.6238	7.41	.0002
Error	71	1,203.253	16.9472
Total	74	1,580.125