Aaron S. Robertson

H0: The mean unemployment rates for Wisconsin, Illinois, and Indiana between 2002-2011 are the same

H1: The mean unemployment rates for Wisconsin, Illinois, and Indiana between 2002-2011 are not all the same

Year Wisconsin Illinois Indiana

2002 5.3 6.6 5.2

2003 5.6 6.7 5.3

2004 5 6.2 5.3

2005 4.8 5.8 5.3

2006 4.7 4.7 5

2007 4.8 5.1 4.6

2008 4.9 6.4 5.9

2009 8.8 10 10.4

2010 8.5 10.5 10.1

2011 7.5 9.8 9

Wisconsin Illinois Indiana

count 10 10 10

mean 5.99 7.18 6.61

sample variance

2.641 4.484 5.170

sample standard deviation

1.625 2.118 2.274

minimum 4.7 4.7 4.6

maximum 8.8 10.5 10.4

range 4.1 5.8 5.8

sum 59.9 71.8 66.1

sum of squares 382.57 555.88 483.45

deviation sum of squares (SSX)

23.769 40.356 46.529

standard error of the mean

0.514 0.670 0.719

ALL

count 30

mean 6.593

sample variance 4.060

sample standard deviation 2.015

minimum 4.6

maximum 10.5

range 5.9

sum 197.8

sum of squares 1421.9

deviation sum of squares (SSX) 117.739

standard error of the mean 0.368

Mean n Std. Dev.

5.99 10 1.625 Wisconsin

7.18 10 2.118 Illinois

6.61 10 2.274 Indiana

6.59 30 2.015 Total

Source SS df MS F p-value

Treatment

7.085 2 3.5423 0.86 .4327

Error 110.654 27 4.0983

Total 117.739 29

p-value is high at .4327

Do not reject H0, therefore:

The mean unemployment rates for Wisconsin, Illinois, and Indiana between 2002-2011 are the same

U.S. Department of Labor, Bureau of Labor Statistics: http://www.bls.gov/bdm/

Local Area Unemployment Statistics

Original Data Value

Series Id: LASST55000003, LASST18000003, LASST17000003

Seasonally Adjusted

Area: Wisconsin, Indiana, Illinois

Area Type: Statewide

State/Region/Division: Wisconsin, Indiana, Illinois

Years:2002 to 2012