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\ \(data . \)\)

\(\(CS = {

        	{\ \ \ 62.04\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 100.00\ \ , \ \ \ 
          1416.67\ , \ \ \ \(-37.96\)\ \ , \ \ \ \(-1416.67\)\ \ \ \ }, 
        
{\ \ \ 40.12\ \ \ , \ \ \ 952.38\ \ , \ \ \ 60.51\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-20.39\)\ \ , \ \ \ 952.38\ \ }, 
        
{\ \ \ 52.45\ \ \ , \ \ \ 9638.10\ , \ \ \ 72.46\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-20.02\)\ \ , \ \ \ 9638.10\ }, 
        
{\ \ \ 30.20\ \ \ , \ \ \ 10476.19\ \ \ \ , \ \ \ 66.67\ \ \ , 
          \ \ \ 0.00\ \ \ \ , \ \ \ \(-36.47\)\ \ , \ \ \ 10476.19\ \ \ \ }, 
        
{\ \ \ 54.26\ \ \ , \ \ \ 476.19\ \ , \ \ \ 80.79\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-26.54\)\ \ , \ \ \ 476.19\ \ }, 
        
{\ \ \ 43.51\ \ \ , \ \ \ 428.57\ \ , \ \ \ 34.29\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 9.22\ \ \ \ , \ \ \ 428.57\ \ }, 
        
{\ \ \ 32.56\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 115.74\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-83.18\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 66.17\ \ \ , \ \ \ 1428.57\ , \ \ \ 56.82\ \ \ , \ \ \ 
          5416.67\ , \ \ \ 9.35\ \ \ \ , \ \ \ \(-3988.10\)\ \ \ \ }, 
        
{\ \ \ 38.10\ \ \ , \ \ \ 8571.43\ , \ \ \ 116.85\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-78.75\)\ \ , \ \ \ 8571.43\ }, 
        
{\ \ \ 60.63\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 70.51\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-9.89\)\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 30.93\ \ \ , \ \ \ 1404.76\ , \ \ \ 94.33\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-63.40\)\ \ , \ \ \ 1404.76\ }, 
        
{\ \ \ 76.35\ \ \ , \ \ \ 380.95\ \ , \ \ \ 81.52\ \ \ , \ \ \ 
          9458.33\ , \ \ \ \(-5.17\)\ \ \ , \ \ \ \(-9077.38\)\ \ \ \ }, 
        
{\ \ \ 40.10\ \ \ , \ \ \ 1523.81\ , \ \ \ 83.33\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-43.23\)\ \ , \ \ \ 1523.81\ }, 
        
{\ \ \ 38.51\ \ \ , \ \ \ 190.48\ \ , \ \ \ 65.95\ \ \ , \ \ \ 
          583.33\ \ , \ \ \ \(-27.44\)\ \ , \ \ \ \(-392.86\)\ }, 
        
{\ \ \ 72.38\ \ \ , \ \ \ 8571.43\ , \ \ \ 91.67\ \ \ , \ \ \ 
          1250.00\ , \ \ \ \(-19.29\)\ \ , \ \ \ 7321.43\ }, 
        
{\ \ \ 42.67\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 78.26\ \ \ , \ \ \ 
          145.83\ \ , \ \ \ \(-35.59\)\ \ , \ \ \ \(-145.83\)\ }, 
        
{\ \ \ 35.82\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 150.00\ \ , \ \ \ 
          1833.33\ , \ \ \ \(-114.18\)\ , \ \ \ \(-1833.33\)\ \ \ \ }, 
        
{\ \ \ 50.26\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 128.47\ \ , \ \ \ 
          2191.67\ , \ \ \ \(-78.21\)\ \ , \ \ \ \(-2191.67\)\ \ \ \ }, 
        
{\ \ \ 22.44\ \ \ , \ \ \ 285.71\ \ , \ \ \ 42.55\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-20.11\)\ \ , \ \ \ 285.71\ \ }, 
        
{\ \ \ 129.87\ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 58.33\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 71.54\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 61.97\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 108.80\ \ , \ \ \ 
          2333.33\ , \ \ \ \(-46.82\)\ \ , \ \ \ \(-2333.33\)\ \ \ \ }, 
        
{\ \ \ 45.63\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 83.33\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-37.70\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 61.16\ \ \ , \ \ \ 10666.67\ \ \ \ , \ \ \ 104.17\ \ , \ \ \ 
          1000.00\ , \ \ \ \(-43.00\)\ \ , \ \ \ 9666.67\ }, 
        
{\ \ \ 108.58\ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 69.89\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 38.69\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 96.18\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 87.04\ \ \ , \ \ \ 
          750.00\ \ , \ \ \ 9.14\ \ \ \ , \ \ \ \(-750.00\)\ }, 
        
{\ \ \ 63.14\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 135.87\ \ , \ \ \ 
          416.67\ \ , \ \ \ \(-72.73\)\ \ , \ \ \ \(-416.67\)\ }, 
        
{\ \ \ 49.57\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 57.35\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-7.79\)\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 35.09\ \ \ , \ \ \ 571.43\ \ , \ \ \ 91.56\ \ \ , \ \ \ 
          500.00\ \ , \ \ \ \(-56.47\)\ \ , \ \ \ 71.43\ \ \ }, 
        
{\ \ \ 32.40\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 95.96\ \ \ , \ \ \ 
          6841.67\ , \ \ \ \(-63.56\)\ \ , \ \ \ \(-6841.67\)\ \ \ \ }, 
        
{\ \ \ 58.95\ \ \ , \ \ \ 3809.52\ , \ \ \ 70.25\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-11.29\)\ \ , \ \ \ 3809.52\ }, 
        
{\ \ \ 26.05\ \ \ , \ \ \ 761.90\ \ , \ \ \ 145.83\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-119.78\)\ , \ \ \ 761.90\ \ }, 
        
{\ \ \ 34.72\ \ \ , \ \ \ 23809.52\ \ \ \ , \ \ \ 34.09\ \ \ , 
          \ \ \ 3750.00\ , \ \ \ 0.63\ \ \ \ , \ \ \ 20059.52\ \ \ \ }, 
        
{\ \ \ 41.19\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 114.58\ \ , \ \ \ 
          125.00\ \ , \ \ \ \(-73.39\)\ \ , \ \ \ \(-125.00\)\ }, 
        
{\ \ \ 60.71\ \ \ , \ \ \ 5428.57\ , \ \ \ 66.67\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-5.95\)\ \ \ , \ \ \ 5428.57\ }, 
        
{\ \ \ 52.38\ \ \ , \ \ \ 452.38\ \ , \ \ \ 70.83\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-18.45\)\ \ , \ \ \ 452.38\ \ }, 
        
{\ \ \ 66.67\ \ \ , \ \ \ 3809.52\ , \ \ \ 96.67\ \ \ , \ \ \ 
          2512.50\ , \ \ \ \(-30.00\)\ \ , \ \ \ 1297.02\ }, 
        
{\ \ \ 93.44\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 91.77\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 1.68\ \ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 27.59\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 87.72\ \ \ , \ \ \ 
          62.50\ \ \ , \ \ \ \(-60.13\)\ \ , \ \ \ \(-62.50\)\ \ }, 
        
{\ \ \ 88.18\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 116.22\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-28.04\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 32.24\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 83.85\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-51.62\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 87.30\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 76.09\ \ \ , \ \ \ 
          916.67\ \ , \ \ \ 11.21\ \ \ , \ \ \ \(-916.67\)\ }, 
        
{\ \ \ 66.67\ \ \ , \ \ \ 3619.05\ , \ \ \ 93.14\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-26.47\)\ \ , \ \ \ 3619.05\ }, 
        
{\ \ \ 48.10\ \ \ , \ \ \ 6666.67\ , \ \ \ 67.20\ \ \ , \ \ \ 
          3120.83\ , \ \ \ \(-19.10\)\ \ , \ \ \ 3545.83\ }, 
        
{\ \ \ 74.07\ \ \ , \ \ \ 2385.71\ , \ \ \ 65.97\ \ \ , \ \ \ 375.00
          \ \ , \ \ \ 8.10\ \ \ \ , \ \ \ 2010.71\ }, 
        
{\ \ \ 33.86\ \ \ , \ \ \ 1942.86\ , \ \ \ 112.50\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-78.64\)\ \ , \ \ \ 1942.86\ }, 
        
{\ \ \ 31.97\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 92.59\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-60.63\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 34.94\ \ \ , \ \ \ 6952.38\ , \ \ \ 99.21\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-64.27\)\ \ , \ \ \ 6952.38\ }, 
        
{\ \ \ 90.80\ \ \ , \ \ \ 11428.57\ \ \ \ , \ \ \ 81.16\ \ \ , 
          \ \ \ 875.00\ \ , \ \ \ 9.63\ \ \ \ , \ \ \ 10553.57\ \ \ \ }, 
        
{\ \ \ 57.14\ \ \ , \ \ \ 642.86\ \ , \ \ \ 48.61\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 8.53\ \ \ \ , \ \ \ 642.86\ \ }, 
        
{\ \ \ 70.03\ \ \ , \ \ \ 1380.95\ , \ \ \ 83.33\ \ \ , \ \ \ 
          4166.67\ , \ \ \ \(-13.31\)\ \ , \ \ \ \(-2785.71\)\ \ \ \ }, 
        
{\ \ \ 33.04\ \ \ , \ \ \ 4761.90\ , \ \ \ 93.75\ \ \ , \ \ \ 
          4750.00\ , \ \ \ \(-60.71\)\ \ , \ \ \ 11.90\ \ \ }, 
        
{\ \ \ 46.48\ \ \ , \ \ \ 3238.10\ , \ \ \ 89.29\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-42.81\)\ \ , \ \ \ 3238.10\ }, 
        
{\ \ \ 35.94\ \ \ , \ \ \ 190.48\ \ , \ \ \ 96.15\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-60.21\)\ \ , \ \ \ 190.48\ \ }, 
        
{\ \ \ 33.03\ \ \ , \ \ \ 476.19\ \ , \ \ \ 77.26\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-44.24\)\ \ , \ \ \ 476.19\ \ }, 
        
{\ \ \ 53.23\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 44.34\ \ \ , \ \ \ 
          362.50\ \ , \ \ \ 8.89\ \ \ \ , \ \ \ \(-362.50\)\ }, 
        
{\ \ \ 75.19\ \ \ , \ \ \ 3142.86\ , \ \ \ 101.52\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-26.33\)\ \ , \ \ \ 3142.86\ }, 
        
{\ \ \ 55.94\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 80.56\ \ \ , \ \ \ 
          83.33\ \ \ , \ \ \ \(-24.61\)\ \ , \ \ \ \(-83.33\)\ \ }, 
        
{\ \ \ 95.24\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 138.89\ \ , \ \ \ 
          100.00\ \ , \ \ \ \(-43.65\)\ \ , \ \ \ \(-100.00\)\ }, 
        
{\ \ \ 83.69\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 66.18\ \ \ , \ \ \ 
          516.67\ \ , \ \ \ 17.52\ \ \ , \ \ \ \(-516.67\)\ }, 
        
{\ \ \ 42.26\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 137.50\ \ , \ \ \ 
          3500.00\ , \ \ \ \(-95.24\)\ \ , \ \ \ \(-3500.00\)\ \ \ \ }, 
        
{\ \ \ 44.36\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 72.92\ \ \ , \ \ \ 
          500.00\ \ , \ \ \ \(-28.56\)\ \ , \ \ \ \(-500.00\)\ }, 
        
{\ \ \ 47.53\ \ \ , \ \ \ 114.29\ \ , \ \ \ 86.81\ \ \ , \ \ \ 
          375.00\ \ , \ \ \ \(-39.27\)\ \ , \ \ \ \(-260.71\)\ }, 
        
{\ \ \ 55.23\ \ \ , \ \ \ 4285.71\ , \ \ \ 61.59\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-6.37\)\ \ \ , \ \ \ 4285.71\ }, 
        
{\ \ \ 71.07\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 142.86\ \ , \ \ \ 
          250.00\ \ , \ \ \ \(-71.78\)\ \ , \ \ \ \(-250.00\)\ }, 
        
{\ \ \ 33.28\ \ \ , \ \ \ 952.38\ \ , \ \ \ 76.62\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-43.34\)\ \ , \ \ \ 952.38\ \ }, 
        
{\ \ \ 32.12\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 102.34\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-70.22\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 59.87\ \ \ , \ \ \ 3141.90\ , \ \ \ 106.32\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-46.45\)\ \ , \ \ \ 3141.90\ }, 
        
{\ \ \ 53.57\ \ \ , \ \ \ 380.95\ \ , \ \ \ 90.69\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-37.11\)\ \ , \ \ \ 380.95\ \ }, 
        
{\ \ \ 39.44\ \ \ , \ \ \ 4761.90\ , \ \ \ 78.23\ \ \ , \ \ \ 250.00
          \ \ , \ \ \ \(-38.80\)\ \ , \ \ \ 4511.90\ }, 
        
{\ \ \ 57.07\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 97.22\ \ \ , \ \ \ 
          1250.00\ , \ \ \ \(-40.15\)\ \ , \ \ \ \(-1250.00\)\ \ \ \ }, 
        
{\ \ \ 54.07\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 123.46\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-69.39\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 23.72\ \ \ , \ \ \ 19142.86\ \ \ \ , \ \ \ 56.57\ \ \ , 
          \ \ \ 66.67\ \ \ , \ \ \ \(-32.85\)\ \ , \ \ \ 19076.19\ \ \ \ }, 
        
{\ \ \ 51.76\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 78.46\ \ \ , \ \ \ 
          1583.33\ , \ \ \ \(-26.70\)\ \ , \ \ \ \(-1583.33\)\ \ \ \ }, 
        
{\ \ \ 39.33\ \ \ , \ \ \ 2857.14\ , \ \ \ 80.46\ \ \ , \ \ \ 125.00
          \ \ , \ \ \ \(-41.13\)\ \ , \ \ \ 2732.14\ }, 
        
{\ \ \ 23.69\ \ \ , \ \ \ 3809.52\ , \ \ \ 83.33\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-59.64\)\ \ , \ \ \ 3809.52\ }, 
        
{\ \ \ 40.38\ \ \ , \ \ \ 685.71\ \ , \ \ \ 119.44\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-79.07\)\ \ , \ \ \ 685.71\ \ }, 
        
{\ \ \ 85.99\ \ \ , \ \ \ 285.71\ \ , \ \ \ 73.33\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 12.67\ \ \ , \ \ \ 285.71\ \ }, 
        
{\ \ \ 28.80\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 57.87\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-29.07\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 52.38\ \ \ , \ \ \ 952.38\ \ , \ \ \ 83.33\ \ \ , \ \ \ 
          166.67\ \ , \ \ \ \(-30.95\)\ \ , \ \ \ 785.71\ \ }, 
        
{\ \ \ 29.80\ \ \ , \ \ \ 4190.48\ , \ \ \ 56.67\ \ \ , \ \ \ 839.17
          \ \ , \ \ \ \(-26.87\)\ \ , \ \ \ 3351.31\ }, 
        
{\ \ \ 69.84\ \ \ , \ \ \ 2244.76\ , \ \ \ 63.16\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 6.68\ \ \ \ , \ \ \ 2244.76\ }, 
        
{\ \ \ 42.16\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 102.56\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-60.40\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 40.35\ \ \ , \ \ \ 2761.90\ , \ \ \ 83.33\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-42.98\)\ \ , \ \ \ 2761.90\ }, 
        
{\ \ \ 90.48\ \ \ , \ \ \ 8261.90\ , \ \ \ 83.33\ \ \ , \ \ \ 233.33
          \ \ , \ \ \ 7.14\ \ \ \ , \ \ \ 8028.57\ }, 
        
{\ \ \ 66.67\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 126.81\ \ , \ \ \ 
          41666.67\ \ \ \ , \ \ \ \(-60.14\)\ \ , \ \ \ \(-41666.67\)\ \ \ }, 
        
{\ \ \ 38.77\ \ \ , \ \ \ 4761.90\ , \ \ \ 125.00\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-86.23\)\ \ , \ \ \ 4761.90\ }, 
        
{\ \ \ 73.59\ \ \ , \ \ \ 142.86\ \ , \ \ \ 100.00\ \ , \ \ \ 
          6250.00\ , \ \ \ \(-26.41\)\ \ , \ \ \ \(-6107.14\)\ \ \ \ }, 
        
{\ \ \ 57.87\ \ \ , \ \ \ 614.29\ \ , \ \ \ 105.83\ \ , \ \ \ 291.67
          \ \ , \ \ \ \(-47.96\)\ \ , \ \ \ 322.62\ \ }, 
        
{\ \ \ 113.38\ \ , \ \ \ 857.14\ \ , \ \ \ 49.19\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 64.19\ \ \ , \ \ \ 857.14\ \ }, 
        
{\ \ \ 31.87\ \ \ , \ \ \ 8171.43\ , \ \ \ 90.62\ \ \ , \ \ \ 
          7583.33\ , \ \ \ \(-58.75\)\ \ , \ \ \ 588.10\ \ }, 
        
{\ \ \ 45.20\ \ \ , \ \ \ 2757.14\ , \ \ \ 86.96\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-41.75\)\ \ , \ \ \ 2757.14\ }, 
        
{\ \ \ 68.71\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 117.34\ \ , \ \ \ 
          833.33\ \ , \ \ \ \(-48.63\)\ \ , \ \ \ \(-833.33\)\ }, 
        
{\ \ \ 45.79\ \ \ , \ \ \ 7876.19\ , \ \ \ 81.60\ \ \ , \ \ \ 
          8291.67\ , \ \ \ \(-35.81\)\ \ , \ \ \ \(-415.48\)\ }, 
        
{\ \ \ 81.85\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 111.90\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-30.05\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 77.78\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 25.26\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 52.51\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 39.18\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 124.03\ \ , \ \ \ 
          333.33\ \ , \ \ \ \(-84.85\)\ \ , \ \ \ \(-333.33\)\ }, 
        
{\ \ \ 101.94\ \ , \ \ \ 3809.52\ , \ \ \ 59.16\ \ \ , \ \ \ 9166.67
          \ , \ \ \ 42.78\ \ \ , \ \ \ \(-5357.14\)\ \ \ \ }, 
        
{\ \ \ 90.19\ \ \ , \ \ \ 2904.76\ , \ \ \ 86.21\ \ \ , \ \ \ 250.00
          \ \ , \ \ \ 3.98\ \ \ \ , \ \ \ 2654.76\ }, 
        
{\ \ \ 25.25\ \ \ , \ \ \ 3809.52\ , \ \ \ 100.00\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-74.75\)\ \ , \ \ \ 3809.52\ }, 
        
{\ \ \ 51.56\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 116.67\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-65.10\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 54.80\ \ \ , \ \ \ 2350.01\ , \ \ \ 87.74\ \ \ , \ \ \ 
          1396.60\ , \ \ \ \(-32.94\)\ \ , \ \ \ 953.41\ \ }
		}; \)\)

\(\(\(\(\(1)\)\ 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\ 
      \(hypotheses . \)\)