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Wisconsin, Illinois, and Indiana Unemployment Rates: Same on Average?

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

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Wisconsin, Illinois, and Indiana Unemployment Rates: Same on Average?

  1. 1. Aaron S. Robertson
  2. 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. 3. Year Wisconsin Illinois Indiana2002 5.3 6.6 5.22003 5.6 6.7 5.32004 5 6.2 5.32005 4.8 5.8 5.32006 4.7 4.7 52007 4.8 5.1 4.62008 4.9 6.4 5.92009 8.8 10 10.42010 8.5 10.5 10.12011 7.5 9.8 9
  4. 4. Wisconsin Illinois Indianacount 10 10 10mean 5.99 7.18 6.61sample variance 2.641 4.484 5.170sample standard 1.625 2.118 2.274deviationminimum 4.7 4.7 4.6maximum 8.8 10.5 10.4range 4.1 5.8 5.8sum 59.9 71.8 66.1sum of squares 382.57 555.88 483.45deviation sum of 23.769 40.356 46.529squares (SSX)standard error of 0.514 0.670 0.719the mean
  5. 5. ALLcount 30mean 6.593sample variance 4.060sample standard deviation 2.015minimum 4.6maximum 10.5range 5.9sum 197.8sum of squares 1421.9deviation sum of squares (SSX) 117.739standard error of the mean 0.368
  6. 6. Mean n Std. Dev.5.99 10 1.625 Wisconsin7.18 10 2.118 Illinois6.61 10 2.274 Indiana6.59 30 2.015 TotalSource SS df MS F p-valueTreatment 7.085 2 3.5423 0.86 .4327Error 110.654 27 4.0983Total 117.739 29
  7. 7.  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
  8. 8.  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

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