This study examines whether or not the mean unemployment rates for Wisconsin, Illinois, and Indiana between 2002-2011 are the same.

1. Aaron S. Robertson

2.  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

3. 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

4. Wisconsin Illinois Indiana
count 10 10 10
mean 5.99 7.18 6.61
sample variance 2.641 4.484 5.170
sample standard 1.625 2.118 2.274
deviation
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 23.769 40.356 46.529
squares (SSX)
standard error of 0.514 0.670 0.719
the mean

8. 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

10. 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

12.  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

13.  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