Project # 2\(Name : \ 
Student\ ID  #\)

Needs["Statistics`DescriptiveStatistics`"]

Needs["Statistics`DataManipulation`"]

Needs["Statistics`HypothesisTests`"]

Needs["Statistics`ContinuousDistributions`"]

Below is a data set extracted from the 1997 American Housing
       Survey .   Rows describes homes .  Columns consist of the 
      following .

\(Sample\ size\ for\ each\ city\ is\ 100. \ Data\ are\ not\ 
      paired . \ Samples\ were\ randomly\ selected . 

The\ cities\ were\ 
      chosen\ because\ of\ their\ relative\ ages . \ The\ first\ city, \ 
    compared\ to\ the\ second\ city\ , 
    is\ older . \ Housing\ stock\ in\ the\ first\ city\ tends\ to\ be\ 
      older . 
		
			\ Housing\ theories\ predict\ that\ older\ homes\ 
      are\ worth\ less\ in\ value\ and\ cost\ more\ to\ maintain . \ Does\ the
      \ data\ support\ this?
		
Here\ is\ the\ data . \ Project\ questions
      \ follow\ \(data . \)\)

\(\(BD = {

        	{\ \ \ 131.34\ \ , \ \ \ 4680.14\ , \ \ \ 30.61\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 100.72\ \ , \ \ \ 4680.14\ }, 
        
{\ \ \ 38.39\ \ \ , \ \ \ 319.15\ \ , \ \ \ 60.61\ \ \ , \ \ \ 
          3905.26\ , \ \ \ \(-22.21\)\ \ , \ \ \ \(-3586.11\)\ \ \ \ }, 
        
{\ \ \ 33.62\ \ \ , \ \ \ 85.11\ \ \ , \ \ \ 49.47\ \ \ , \ \ \ 
          2947.37\ , \ \ \ \(-15.85\)\ \ , \ \ \ \(-2862.26\)\ \ \ \ }, 
        
{\ \ \ 43.00\ \ \ , \ \ \ 2304.96\ , \ \ \ 62.79\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-19.80\)\ \ , \ \ \ 2304.96\ }, 
        
{\ \ \ 62.06\ \ \ , \ \ \ 17730.50\ \ \ \ , \ \ \ 56.54\ \ \ , 
          \ \ \ 52.63\ \ \ , \ \ \ 5.52\ \ \ \ , \ \ \ 17677.86\ \ \ \ }, 
        
{\ \ \ 49.60\ \ \ , \ \ \ 6028.37\ , \ \ \ 53.15\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-3.55\)\ \ \ , \ \ \ 6028.37\ }, 
        
{\ \ \ 32.96\ \ \ , \ \ \ 2127.66\ , \ \ \ 56.14\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-23.18\)\ \ , \ \ \ 2127.66\ }, 
        
{\ \ \ 35.82\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 59.67\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-23.85\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 137.90\ \ , \ \ \ 6737.59\ , \ \ \ 26.24\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 111.66\ \ , \ \ \ 6737.59\ }, 
        
{\ \ \ 69.08\ \ \ , \ \ \ 4283.69\ , \ \ \ 67.42\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 1.66\ \ \ \ , \ \ \ 4283.69\ }, 
        
{\ \ \ 111.45\ \ , \ \ \ 744.68\ \ , \ \ \ 21.65\ \ \ , \ \ \ 210.53
          \ \ , \ \ \ 89.79\ \ \ , \ \ \ 534.15\ \ }, 
        
{\ \ \ 118.20\ \ , \ \ \ 3900.71\ , \ \ \ 40.82\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 77.39\ \ \ , \ \ \ 3900.71\ }, 
        
{\ \ \ 53.75\ \ \ , \ \ \ 4751.77\ , \ \ \ 43.17\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 10.58\ \ \ , \ \ \ 4751.77\ }, 
        
{\ \ \ 56.74\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 55.10\ \ \ , \ \ \ 
          510.20\ \ , \ \ \ 1.64\ \ \ \ , \ \ \ \(-510.20\)\ }, 
        
{\ \ \ 63.50\ \ \ , \ \ \ 2836.88\ , \ \ \ 70.18\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-6.67\)\ \ \ , \ \ \ 2836.88\ }, 
        
{\ \ \ 76.83\ \ \ , \ \ \ 212.77\ \ , \ \ \ 43.73\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 33.10\ \ \ , \ \ \ 212.77\ \ }, 
        
{\ \ \ 61.67\ \ \ , \ \ \ 41578.01\ \ \ \ , \ \ \ 85.03\ \ \ , 
          \ \ \ 0.00\ \ \ \ , \ \ \ \(-23.36\)\ \ , \ \ \ 41578.01\ \ \ \ }, 
        
{\ \ \ 34.95\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 62.05\ \ \ , \ \ \ 
          102.04\ \ , \ \ \ \(-27.10\)\ \ , \ \ \ \(-102.04\)\ }, 
        
{\ \ \ 53.19\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 46.58\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 6.61\ \ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 35.32\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 39.01\ \ \ , \ \ \ 
          1052.63\ , \ \ \ \(-3.69\)\ \ \ , \ \ \ \(-1052.63\)\ \ \ \ }, 
        
{\ \ \ 53.84\ \ \ , \ \ \ 7198.58\ , \ \ \ 23.01\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 30.83\ \ \ , \ \ \ 7198.58\ }, 
        
{\ \ \ 52.84\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 102.04\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-49.20\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 60.28\ \ \ , \ \ \ 63829.79\ \ \ \ , \ \ \ 42.93\ \ \ , 
          \ \ \ 0.00\ \ \ \ , \ \ \ 17.36\ \ \ , \ \ \ 63829.79\ \ \ \ }, 
        
{\ \ \ 86.68\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 91.24\ \ \ , \ \ \ 
          9030.61\ , \ \ \ \(-4.56\)\ \ \ , \ \ \ \(-9030.61\)\ \ \ \ }, 
        
{\ \ \ 66.96\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 28.74\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 38.22\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 59.10\ \ \ , \ \ \ 195.04\ \ , \ \ \ 52.63\ \ \ , \ \ \ 
          968.42\ \ , \ \ \ 6.47\ \ \ \ , \ \ \ \(-773.39\)\ }, 
        
{\ \ \ 43.48\ \ \ , \ \ \ 67.38\ \ \ , \ \ \ 38.60\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 4.88\ \ \ \ , \ \ \ 67.38\ \ \ }, 
        
{\ \ \ 53.19\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 79.10\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-25.91\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 68.17\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 56.46\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 11.71\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 102.42\ \ , \ \ \ 1418.44\ , \ \ \ 21.93\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 80.49\ \ \ , \ \ \ 1418.44\ }, 
        
{\ \ \ 74.21\ \ \ , \ \ \ 500.00\ \ , \ \ \ 33.00\ \ \ , \ \ \ 
          842.11\ \ , \ \ \ 41.21\ \ \ , \ \ \ \(-342.11\)\ }, 
        
{\ \ \ 45.28\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 66.57\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-21.29\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 48.76\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 44.21\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 4.55\ \ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 46.70\ \ \ , \ \ \ 4964.54\ , \ \ \ 51.21\ \ \ , \ \ \ 
          3571.43\ , \ \ \ \(-4.51\)\ \ \ , \ \ \ 1393.11\ }, 
        
{\ \ \ 78.58\ \ \ , \ \ \ 13049.65\ \ \ \ , \ \ \ 72.12\ \ \ , 
          \ \ \ 10473.68\ \ \ \ , \ \ \ 6.46\ \ \ \ , \ \ \ 2575.96\ }, 
        
{\ \ \ 77.57\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 44.64\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 32.93\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 35.18\ \ \ , \ \ \ 354.61\ \ , \ \ \ 60.01\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-24.83\)\ \ , \ \ \ 354.61\ \ }, 
        
{\ \ \ 57.82\ \ \ , \ \ \ 4340.43\ , \ \ \ 46.78\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 11.03\ \ \ , \ \ \ 4340.43\ }, 
        
{\ \ \ 23.04\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 66.03\ \ \ , \ \ \ 
          6938.78\ , \ \ \ \(-42.99\)\ \ , \ \ \ \(-6938.78\)\ \ \ \ }, 
        
{\ \ \ 73.76\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 47.47\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 26.29\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 35.46\ \ \ , \ \ \ 141.84\ \ , \ \ \ 45.55\ \ \ , \ \ \ 
          2489.80\ , \ \ \ \(-10.09\)\ \ , \ \ \ \(-2347.95\)\ \ \ \ }, 
        
{\ \ \ 69.38\ \ \ , \ \ \ 3617.02\ , \ \ \ 30.61\ \ \ , \ \ \ 
          1278.57\ , \ \ \ 38.77\ \ \ , \ \ \ 2338.45\ }, 
        
{\ \ \ 45.59\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 53.06\ \ \ , \ \ \ 
          2397.96\ , \ \ \ \(-7.47\)\ \ \ , \ \ \ \(-2397.96\)\ \ \ \ }, 
        
{\ \ \ 59.10\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 70.33\ \ \ , \ \ \ 
          57.89\ \ \ , \ \ \ \(-11.23\)\ \ , \ \ \ \(-57.89\)\ \ }, 
        
{\ \ \ 109.11\ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 33.80\ \ \ , \ \ \ 
          2551.02\ , \ \ \ 75.31\ \ \ , \ \ \ \(-2551.02\)\ \ \ \ }, 
        
{\ \ \ 47.74\ \ \ , \ \ \ 382.98\ \ , \ \ \ 59.14\ \ \ , \ \ \ 
          2105.26\ , \ \ \ \(-11.40\)\ \ , \ \ \ \(-1722.28\)\ \ \ \ }, 
        
{\ \ \ 55.13\ \ \ , \ \ \ 113.48\ \ , \ \ \ 27.62\ \ \ , \ \ \ 
          204.08\ \ , \ \ \ 27.51\ \ \ , \ \ \ \(-90.61\)\ \ }, 
        
{\ \ \ 63.04\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 69.57\ \ \ , \ \ \ 
          755.10\ \ , \ \ \ \(-6.53\)\ \ \ , \ \ \ \(-755.10\)\ }, 
        
{\ \ \ 109.93\ \ , \ \ \ 4822.70\ , \ \ \ 95.66\ \ \ , \ \ \ 
          26887.76\ \ \ \ , \ \ \ 14.27\ \ \ , \ \ \ \(-22065.06\)\ \ \ }, 
        
{\ \ \ 54.72\ \ \ , \ \ \ 4255.32\ , \ \ \ 49.86\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 4.86\ \ \ \ , \ \ \ 4255.32\ }, 
        
{\ \ \ 55.41\ \ \ , \ \ \ 2127.66\ , \ \ \ 53.06\ \ \ , \ \ \ 
          12704.08\ \ \ \ , \ \ \ 2.35\ \ \ \ , \ \ \ \(-10576.42\)\ \ \ }, 
        
{\ \ \ 40.11\ \ \ , \ \ \ 709.22\ \ , \ \ \ 24.49\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 15.62\ \ \ , \ \ \ 709.22\ \ }, 
        
{\ \ \ 74.65\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 40.74\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 33.91\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 58.59\ \ \ , \ \ \ 141.84\ \ , \ \ \ 64.94\ \ \ , \ \ \ 
          2040.82\ , \ \ \ \(-6.35\)\ \ \ , \ \ \ \(-1898.97\)\ \ \ \ }, 
        
{\ \ \ 105.07\ \ , \ \ \ 1375.89\ , \ \ \ 62.68\ \ \ , \ \ \ 
          20000.00\ \ \ \ , \ \ \ 42.39\ \ \ , \ \ \ \(-18624.11\)\ \ \ }, 
        
{\ \ \ 26.00\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 53.56\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-27.55\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 55.97\ \ \ , \ \ \ 42.55\ \ \ , \ \ \ 46.32\ \ \ , \ \ \ 
          9368.42\ , \ \ \ 9.65\ \ \ \ , \ \ \ \(-9325.87\)\ \ \ \ }, 
        
{\ \ \ 47.92\ \ \ , \ \ \ 170.21\ \ , \ \ \ 24.74\ \ \ , \ \ \ 
          5102.04\ , \ \ \ 23.18\ \ \ , \ \ \ \(-4931.83\)\ \ \ \ }, 
        
{\ \ \ 67.21\ \ \ , \ \ \ 1170.21\ , \ \ \ 24.49\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 42.72\ \ \ , \ \ \ 1170.21\ }, 
        
{\ \ \ 69.53\ \ \ , \ \ \ 3120.57\ , \ \ \ 29.05\ \ \ , \ \ \ 
          2315.79\ , \ \ \ 40.49\ \ \ , \ \ \ 804.78\ \ }, 
        
{\ \ \ 53.75\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 75.51\ \ \ , \ \ \ 
          5102.04\ , \ \ \ \(-21.76\)\ \ , \ \ \ \(-5102.04\)\ \ \ \ }, 
        
{\ \ \ 66.49\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 60.92\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 5.57\ \ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 82.82\ \ \ , \ \ \ 567.38\ \ , \ \ \ 86.77\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-3.95\)\ \ \ , \ \ \ 567.38\ \ }, 
        
{\ \ \ 77.57\ \ \ , \ \ \ 1063.83\ , \ \ \ 45.19\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 32.38\ \ \ , \ \ \ 1063.83\ }, 
        
{\ \ \ 110.72\ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 58.41\ \ \ , \ \ \ 
          315.79\ \ , \ \ \ 52.31\ \ \ , \ \ \ \(-315.79\)\ }, 
        
{\ \ \ 91.81\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 45.16\ \ \ , \ \ \ 
          2710.53\ , \ \ \ 46.65\ \ \ , \ \ \ \(-2710.53\)\ \ \ \ }, 
        
{\ \ \ 33.19\ \ \ , \ \ \ 15319.15\ \ \ \ , \ \ \ 64.71\ \ \ , 
          \ \ \ 0.00\ \ \ \ , \ \ \ \(-31.52\)\ \ , \ \ \ 15319.15\ \ \ \ }, 
        
{\ \ \ 82.00\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 52.63\ \ \ , \ \ \ 
          1947.37\ , \ \ \ 29.37\ \ \ , \ \ \ \(-1947.37\)\ \ \ \ }, 
        
{\ \ \ 124.62\ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 51.02\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 73.60\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 45.36\ \ \ , \ \ \ 14184.40\ \ \ \ , \ \ \ 45.92\ \ \ , 
          \ \ \ 357.14\ \ , \ \ \ \(-0.56\)\ \ \ , \ \ \ 13827.25\ \ \ \ }, 
        
{\ \ \ 38.83\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 89.86\ \ \ , \ \ \ 
          11394.74\ \ \ \ , \ \ \ \(-51.03\)\ \ , \ \ \ \(-11394.74\)\ \ \ }, 
        
{\ \ \ 54.70\ \ \ , \ \ \ 11560.28\ \ \ \ , \ \ \ 43.39\ \ \ , 
          \ \ \ 0.00\ \ \ \ , \ \ \ 11.31\ \ \ , \ \ \ 11560.28\ \ \ \ }, 
        
{\ \ \ 44.18\ \ \ , \ \ \ 780.14\ \ , \ \ \ 49.71\ \ \ , \ \ \ 
          4631.58\ , \ \ \ \(-5.53\)\ \ \ , \ \ \ \(-3851.44\)\ \ \ \ }, 
        
{\ \ \ 30.72\ \ \ , \ \ \ 1702.13\ , \ \ \ 43.06\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-12.35\)\ \ , \ \ \ 1702.13\ }, 
        
{\ \ \ 27.64\ \ \ , \ \ \ 8191.49\ , \ \ \ 39.97\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-12.32\)\ \ , \ \ \ 8191.49\ }, 
        
{\ \ \ 104.77\ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 50.40\ \ \ , \ \ \ 
          3573.68\ , \ \ \ 54.37\ \ \ , \ \ \ \(-3573.68\)\ \ \ \ }, 
        
{\ \ \ 53.36\ \ \ , \ \ \ 1418.44\ , \ \ \ 56.39\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-3.03\)\ \ \ , \ \ \ 1418.44\ }, 
        
{\ \ \ 92.20\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 55.46\ \ \ , \ \ \ 
          918.37\ \ , \ \ \ 36.74\ \ \ , \ \ \ \(-918.37\)\ }, 
        
{\ \ \ 51.58\ \ \ , \ \ \ 1985.82\ , \ \ \ 58.31\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-6.73\)\ \ \ , \ \ \ 1985.82\ }, 
        
{\ \ \ 83.44\ \ \ , \ \ \ 992.91\ \ , \ \ \ 45.47\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 37.97\ \ \ , \ \ \ 992.91\ \ }, 
        
{\ \ \ 73.08\ \ \ , \ \ \ 8156.03\ , \ \ \ 73.68\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-0.61\)\ \ \ , \ \ \ 8156.03\ }, 
        
{\ \ \ 61.14\ \ \ , \ \ \ 4680.85\ , \ \ \ 61.95\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-0.81\)\ \ \ , \ \ \ 4680.85\ }, 
        
{\ \ \ 42.96\ \ \ , \ \ \ 7092.20\ , \ \ \ 41.74\ \ \ , \ \ \ 
          11530.61\ \ \ \ , \ \ \ 1.21\ \ \ \ , \ \ \ \(-4438.41\)\ \ \ \ }, 
        
{\ \ \ 64.00\ \ \ , \ \ \ 5673.76\ , \ \ \ 35.09\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 28.92\ \ \ , \ \ \ 5673.76\ }, 
        
{\ \ \ 113.48\ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 143.74\ \ , \ \ \ 
          2504.08\ , \ \ \ \(-30.26\)\ \ , \ \ \ \(-2504.08\)\ \ \ \ }, 
        
{\ \ \ 71.96\ \ \ , \ \ \ 496.45\ \ , \ \ \ 31.68\ \ \ , \ \ \ 
          2616.84\ , \ \ \ 40.27\ \ \ , \ \ \ \(-2120.39\)\ \ \ \ }, 
        
{\ \ \ 38.79\ \ \ , \ \ \ 1276.60\ , \ \ \ 57.02\ \ \ , \ \ \ 
          1020.41\ , \ \ \ \(-18.24\)\ \ , \ \ \ 256.19\ \ }, 
        
{\ \ \ 44.89\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 50.16\ \ \ , \ \ \ 
          3263.16\ , \ \ \ \(-5.27\)\ \ \ , \ \ \ \(-3263.16\)\ \ \ \ }, 
        
{\ \ \ 73.21\ \ \ , \ \ \ 1773.05\ , \ \ \ 55.26\ \ \ , \ \ \ 200.00
          \ \ , \ \ \ 17.94\ \ \ , \ \ \ 1573.05\ }, 
        
{\ \ \ 107.34\ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 64.33\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 43.01\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 49.17\ \ \ , \ \ \ 354.61\ \ , \ \ \ 54.95\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-5.78\)\ \ \ , \ \ \ 354.61\ \ }, 
        
{\ \ \ 52.09\ \ \ , \ \ \ 8652.48\ , \ \ \ 62.99\ \ \ , \ \ \ 
          5086.73\ , \ \ \ \(-10.90\)\ \ , \ \ \ 3565.75\ }, 
        
{\ \ \ 71.14\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 71.77\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-0.63\)\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 98.20\ \ \ , \ \ \ 1063.83\ , \ \ \ 39.38\ \ \ , \ \ \ 50.53
          \ \ \ , \ \ \ 58.82\ \ \ , \ \ \ 1013.30\ }, 
        
{\ \ \ 25.50\ \ \ , \ \ \ 2269.50\ , \ \ \ 26.32\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-0.82\)\ \ \ , \ \ \ 2269.50\ }, 
        
{\ \ \ 28.66\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 78.23\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-49.58\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 21.39\ \ \ , \ \ \ 3546.10\ , \ \ \ 52.63\ \ \ , \ \ \ 210.53
          \ \ , \ \ \ \(-31.24\)\ \ , \ \ \ 3335.57\ }, 
        
{\ \ \ 29.80\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 38.27\ \ \ , \ \ \ 
          204.08\ \ , \ \ \ \(-8.47\)\ \ \ , \ \ \ \(-204.08\)\ }, 
        
{\ \ \ 67.16\ \ \ , \ \ \ 283.69\ \ , \ \ \ 54.92\ \ \ , \ \ \ 
          6315.79\ , \ \ \ 12.24\ \ \ , \ \ \ \(-6032.10\)\ \ \ \ }, 
        
{\ \ \ 40.97\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 72.89\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-31.92\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 62.82\ \ \ , \ \ \ 3195.17\ , \ \ \ 53.43\ \ \ , \ \ \ 
          1948.18\ , \ \ \ 9.38\ \ \ \ , \ \ \ 1246.99\ }
		}; \)\)

\(\(\(\(\(1)\)\ Compute\ the\ mean\ and\ standard\ deviation\ for\ columns
                  \ 5\ \ \((difference\ in\ housing\ value)\)\ and\ 6\ 
                  \((difference\ in\ maintenance/renovation\ values)\) . \ 
                    Describe\ the\ results . 
		
2)\)\ For\ Columns\ 5\ 
              and\ 6, \ 
            construct\ 95  %\ confidence\ intervals . \ Describe\ your\ 
              results . 
		
3)\)\ Are\ homes\ in\ older\ cities\ worth\ 
          less\ than\ homes\ in\ newer\ cities?\ Construct\ null\ and\ 
          alternative\ hypotheses, \ 
        run\ the\ correct\ statistical\ test\ and\ describe\ your\ 
          results . \ You\ may\ need\ more\ than\ one\ set\ of\ 
          hypotheses . 
		
4)\)\ Are\ homes\ in\ older\ cities\ more\ 
      costly\ to\ maintain?\ \ Construct\ null\ and\ alternative\ \)\(	hypotheses, 
    run\ the\ correct\ statistical\ test\ and\ describe\ your\ 
      results . \ You\ may\ need\ more\ than\ one\ set\ of\ 
      \(hypotheses . \)\)