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\ \(data . \)\)

\(PH = {

        	{\ \ \ 31.69\ \ \ , \ \ \ 277.78\ \ , \ \ \ 33.22\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-1.52\)\ \ \ , \ \ \ 277.78\ \ }, 
        
{\ \ \ 29.63\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 35.46\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-5.83\)\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 46.30\ \ \ , \ \ \ 138.89\ \ , \ \ \ 53.50\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-7.20\)\ \ \ , \ \ \ 138.89\ \ }, 
        
{\ \ \ 25.72\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 49.10\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-23.38\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 38.65\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 66.49\ \ \ , \ \ \ 
          62765.96\ \ \ \ , \ \ \ \(-27.84\)\ \ , \ \ \ \(-62765.96\)\ \ \ }, 
        
{\ \ \ 100.53\ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 44.33\ \ \ , \ \ \ 
          5319.15\ , \ \ \ 56.20\ \ \ , \ \ \ \(-5319.15\)\ \ \ \ }, 
        
{\ \ \ 48.31\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 52.60\ \ \ , \ \ \ 
          1755.32\ , \ \ \ \(-4.29\)\ \ \ , \ \ \ \(-1755.32\)\ \ \ \ }, 
        
{\ \ \ 38.58\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 37.99\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 0.59\ \ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 74.07\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 47.28\ \ \ , \ \ \ 
          1063.83\ , \ \ \ 26.79\ \ \ , \ \ \ \(-1063.83\)\ \ \ \ }, 
        
{\ \ \ 38.58\ \ \ , \ \ \ 1296.30\ , \ \ \ 66.49\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-27.91\)\ \ , \ \ \ 1296.30\ }, 
        
{\ \ \ 34.04\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 77.17\ \ \ , \ \ \ 
          851.06\ \ , \ \ \ \(-43.13\)\ \ , \ \ \ \(-851.06\)\ }, 
        
{\ \ \ 36.22\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 35.99\ \ \ , \ \ \ 
          4202.13\ , \ \ \ 0.23\ \ \ \ , \ \ \ \(-4202.13\)\ \ \ \ }, 
        
{\ \ \ 55.86\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 76.60\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-20.73\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 26.73\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 39.89\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-13.16\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 85.98\ \ \ , \ \ \ 3101.85\ , \ \ \ 44.68\ \ \ , \ \ \ 319.15
          \ \ , \ \ \ 41.30\ \ \ , \ \ \ 2782.70\ }, 
        
{\ \ \ 95.40\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 48.68\ \ \ , \ \ \ 
          6595.74\ , \ \ \ 46.71\ \ \ , \ \ \ \(-6595.74\)\ \ \ \ }, 
        
{\ \ \ 59.16\ \ \ , \ \ \ 78.70\ \ \ , \ \ \ 63.49\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-4.33\)\ \ \ , \ \ \ 78.70\ \ \ }, 
        
{\ \ \ 21.66\ \ \ , \ \ \ 925.93\ \ , \ \ \ 72.27\ \ \ , \ \ \ 
          255.32\ \ , \ \ \ \(-50.61\)\ \ , \ \ \ 670.61\ \ }, 
        
{\ \ \ 52.36\ \ \ , \ \ \ 4814.81\ , \ \ \ 28.50\ \ \ , \ \ \ 425.53
          \ \ , \ \ \ 23.86\ \ \ , \ \ \ 4389.28\ }, 
        
{\ \ \ 27.78\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 20.60\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 7.18\ \ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 25.16\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 42.11\ \ \ , \ \ \ 
          19909.57\ \ \ \ , \ \ \ \(-16.95\)\ \ , \ \ \ \(-19909.57\)\ \ \ }, 
        
{\ \ \ 40.10\ \ \ , \ \ \ 138.89\ \ , \ \ \ 30.40\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 9.71\ \ \ \ , \ \ \ 138.89\ \ }, 
        
{\ \ \ 46.78\ \ \ , \ \ \ 5555.56\ , \ \ \ 41.79\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 4.99\ \ \ \ , \ \ \ 5555.56\ }, 
        
{\ \ \ 31.18\ \ \ , \ \ \ 1537.04\ , \ \ \ 43.02\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-11.84\)\ \ , \ \ \ 1537.04\ }, 
        
{\ \ \ 51.94\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 47.28\ \ \ , \ \ \ 
          425.53\ \ , \ \ \ 4.66\ \ \ \ , \ \ \ \(-425.53\)\ }, 
        
{\ \ \ 50.93\ \ \ , \ \ \ 3888.89\ , \ \ \ 24.82\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 26.10\ \ \ , \ \ \ 3888.89\ }, 
        
{\ \ \ 35.27\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 51.83\ \ \ , \ \ \ 
          1382.98\ , \ \ \ \(-16.55\)\ \ , \ \ \ \(-1382.98\)\ \ \ \ }, 
        
{\ \ \ 63.97\ \ \ , \ \ \ 5717.59\ , \ \ \ 45.59\ \ \ , \ \ \ 
          1595.74\ , \ \ \ 18.38\ \ \ , \ \ \ 4121.85\ }, 
        
{\ \ \ 71.23\ \ \ , \ \ \ 370.37\ \ , \ \ \ 117.46\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-46.24\)\ \ , \ \ \ 370.37\ \ }, 
        
{\ \ \ 111.80\ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 45.69\ \ \ , \ \ \ 
          117.02\ \ , \ \ \ 66.10\ \ \ , \ \ \ \(-117.02\)\ }, 
        
{\ \ \ 45.24\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 33.13\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 12.10\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 43.03\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 56.86\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-13.83\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 57.87\ \ \ , \ \ \ 3055.56\ , \ \ \ 27.66\ \ \ , \ \ \ 638.30
          \ \ , \ \ \ 30.21\ \ \ , \ \ \ 2417.26\ }, 
        
{\ \ \ 53.21\ \ \ , \ \ \ 1388.89\ , \ \ \ 61.37\ \ \ , \ \ \ 
          3191.49\ , \ \ \ \(-8.16\)\ \ \ , \ \ \ \(-1802.60\)\ \ \ \ }, 
        
{\ \ \ 42.09\ \ \ , \ \ \ 10231.48\ \ \ \ , \ \ \ 83.99\ \ \ , 
          \ \ \ 6468.09\ , \ \ \ \(-41.90\)\ \ , \ \ \ 3763.40\ }, 
        
{\ \ \ 69.44\ \ \ , \ \ \ 125.00\ \ , \ \ \ 49.20\ \ \ , \ \ \ 
          22872.34\ \ \ \ , \ \ \ 20.24\ \ \ , \ \ \ \(-22747.34\)\ \ \ }, 
        
{\ \ \ 39.44\ \ \ , \ \ \ 18518.52\ \ \ \ , \ \ \ 41.40\ \ \ , 
          \ \ \ 0.00\ \ \ \ , \ \ \ \(-1.97\)\ \ \ , \ \ \ 18518.52\ \ \ \ }, 
        
{\ \ \ 22.60\ \ \ , \ \ \ 138.89\ \ , \ \ \ 57.45\ \ \ , \ \ \ 
          5425.53\ , \ \ \ \(-34.84\)\ \ , \ \ \ \(-5286.64\)\ \ \ \ }, 
        
{\ \ \ 48.10\ \ \ , \ \ \ 4629.63\ , \ \ \ 50.66\ \ \ , \ \ \ 
          1276.60\ , \ \ \ \(-2.56\)\ \ \ , \ \ \ 3353.03\ }, 
        
{\ \ \ 24.38\ \ \ , \ \ \ 3452.78\ , \ \ \ 52.86\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-28.48\)\ \ , \ \ \ 3452.78\ }, 
        
{\ \ \ 31.57\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 44.68\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-13.12\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 41.67\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 44.33\ \ \ , \ \ \ 
          2765.96\ , \ \ \ \(-2.66\)\ \ \ , \ \ \ \(-2765.96\)\ \ \ \ }, 
        
{\ \ \ 33.15\ \ \ , \ \ \ 4166.67\ , \ \ \ 36.88\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-3.73\)\ \ \ , \ \ \ 4166.67\ }, 
        
{\ \ \ 41.15\ \ \ , \ \ \ 1388.89\ , \ \ \ 20.16\ \ \ , \ \ \ 26.60
          \ \ \ , \ \ \ 21.00\ \ \ , \ \ \ 1362.29\ }, 
        
{\ \ \ 98.77\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 34.48\ \ \ , \ \ \ 
          531.91\ \ , \ \ \ 64.29\ \ \ , \ \ \ \(-531.91\)\ }, 
        
{\ \ \ 72.34\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 37.24\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 35.10\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 27.07\ \ \ , \ \ \ 4907.41\ , \ \ \ 35.46\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-8.39\)\ \ \ , \ \ \ 4907.41\ }, 
        
{\ \ \ 51.82\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 54.47\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-2.65\)\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 50.24\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 56.99\ \ \ , \ \ \ 
          3191.49\ , \ \ \ \(-6.75\)\ \ \ , \ \ \ \(-3191.49\)\ \ \ \ }, 
        
{\ \ \ 23.15\ \ \ , \ \ \ 254.63\ \ , \ \ \ 29.26\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-6.11\)\ \ \ , \ \ \ 254.63\ \ }, 
        
{\ \ \ 57.10\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 39.01\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 18.09\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 34.72\ \ \ , \ \ \ 5555.56\ , \ \ \ 47.28\ \ \ , \ \ \ 47.87
          \ \ \ , \ \ \ \(-12.56\)\ \ , \ \ \ 5507.68\ }, 
        
{\ \ \ 40.28\ \ \ , \ \ \ 2870.37\ , \ \ \ 39.72\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 0.56\ \ \ \ , \ \ \ 2870.37\ }, 
        
{\ \ \ 50.60\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 45.80\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 4.79\ \ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 42.09\ \ \ , \ \ \ 2870.37\ , \ \ \ 48.79\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-6.70\)\ \ \ , \ \ \ 2870.37\ }, 
        
{\ \ \ 28.07\ \ \ , \ \ \ 12592.59\ \ \ \ , \ \ \ 55.03\ \ \ , 
          \ \ \ 5531.91\ , \ \ \ \(-26.96\)\ \ , \ \ \ 7060.68\ }, 
        
{\ \ \ 91.86\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 48.76\ \ \ , \ \ \ 
          3723.40\ , \ \ \ 43.10\ \ \ , \ \ \ \(-3723.40\)\ \ \ \ }, 
        
{\ \ \ 38.58\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 41.91\ \ \ , \ \ \ 
          425.53\ \ , \ \ \ \(-3.33\)\ \ \ , \ \ \ \(-425.53\)\ }, 
        
{\ \ \ 26.67\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 59.70\ \ \ , \ \ \ 
          2127.66\ , \ \ \ \(-33.03\)\ \ , \ \ \ \(-2127.66\)\ \ \ \ }, 
        
{\ \ \ 101.19\ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 44.07\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 57.12\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 34.06\ \ \ , \ \ \ 9814.81\ , \ \ \ 46.93\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-12.88\)\ \ , \ \ \ 9814.81\ }, 
        
{\ \ \ 70.55\ \ \ , \ \ \ 4490.74\ , \ \ \ 58.51\ \ \ , \ \ \ 
          8223.40\ , \ \ \ 12.04\ \ \ , \ \ \ \(-3732.66\)\ \ \ \ }, 
        
{\ \ \ 70.18\ \ \ , \ \ \ 14814.81\ \ \ \ , \ \ \ 26.60\ \ \ , 
          \ \ \ 0.00\ \ \ \ , \ \ \ 43.58\ \ \ , \ \ \ 14814.81\ \ \ \ }, 
        
{\ \ \ 43.44\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 57.21\ \ \ , \ \ \ 
          1489.36\ , \ \ \ \(-13.78\)\ \ , \ \ \ \(-1489.36\)\ \ \ \ }, 
        
{\ \ \ 35.09\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 39.40\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-4.31\)\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 26.67\ \ \ , \ \ \ 1712.96\ , \ \ \ 48.06\ \ \ , \ \ \ 106.38
          \ \ , \ \ \ \(-21.39\)\ \ , \ \ \ 1606.58\ }, 
        
{\ \ \ 46.30\ \ \ , \ \ \ 6851.85\ , \ \ \ 36.27\ \ \ , \ \ \ 
          2340.43\ , \ \ \ 10.03\ \ \ , \ \ \ 4511.43\ }, 
        
{\ \ \ 34.24\ \ \ , \ \ \ 111.11\ \ , \ \ \ 23.64\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 10.60\ \ \ , \ \ \ 111.11\ \ }, 
        
{\ \ \ 40.09\ \ \ , \ \ \ 165.74\ \ , \ \ \ 55.40\ \ \ , \ \ \ 
          7446.81\ , \ \ \ \(-15.31\)\ \ , \ \ \ \(-7281.07\)\ \ \ \ }, 
        
{\ \ \ 30.06\ \ \ , \ \ \ 3750.00\ , \ \ \ 57.68\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-27.62\)\ \ , \ \ \ 3750.00\ }, 
        
{\ \ \ 27.41\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 113.23\ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-85.82\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 34.23\ \ \ , \ \ \ 462.96\ \ , \ \ \ 35.74\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-1.51\)\ \ \ , \ \ \ 462.96\ \ }, 
        
{\ \ \ 81.96\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 39.89\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 42.06\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 62.49\ \ \ , \ \ \ 8333.33\ , \ \ \ 103.06\ \ , \ \ \ 186.17
          \ \ , \ \ \ \(-40.57\)\ \ , \ \ \ 8147.16\ }, 
        
{\ \ \ 37.72\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 55.99\ \ \ , \ \ \ 
          1276.60\ , \ \ \ \(-18.27\)\ \ , \ \ \ \(-1276.60\)\ \ \ \ }, 
        
{\ \ \ 32.15\ \ \ , \ \ \ 8148.15\ , \ \ \ 36.80\ \ \ , \ \ \ 744.68
          \ \ , \ \ \ \(-4.65\)\ \ \ , \ \ \ 7403.47\ }, 
        
{\ \ \ 33.26\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 51.93\ \ \ , \ \ \ 
          1414.89\ , \ \ \ \(-18.67\)\ \ , \ \ \ \(-1414.89\)\ \ \ \ }, 
        
{\ \ \ 31.19\ \ \ , \ \ \ 4069.44\ , \ \ \ 38.17\ \ \ , \ \ \ 
          1223.40\ , \ \ \ \(-6.98\)\ \ \ , \ \ \ 2846.04\ }, 
        
{\ \ \ 46.30\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 29.06\ \ \ , \ \ \ 
          473.40\ \ , \ \ \ 17.24\ \ \ , \ \ \ \(-473.40\)\ }, 
        
{\ \ \ 73.10\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 37.99\ \ \ , \ \ \ 
          436.17\ \ , \ \ \ 35.11\ \ \ , \ \ \ \(-436.17\)\ }, 
        
{\ \ \ 52.91\ \ \ , \ \ \ 2777.78\ , \ \ \ 62.65\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-9.74\)\ \ \ , \ \ \ 2777.78\ }, 
        
{\ \ \ 59.35\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 40.53\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 18.83\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 45.33\ \ \ , \ \ \ 1694.44\ , \ \ \ 53.19\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-7.86\)\ \ \ , \ \ \ 1694.44\ }, 
        
{\ \ \ 65.84\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 28.73\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 37.11\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 41.88\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 33.24\ \ \ , \ \ \ 
          691.49\ \ , \ \ \ 8.63\ \ \ \ , \ \ \ \(-691.49\)\ }, 
        
{\ \ \ 89.03\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 35.46\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ 53.57\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 40.08\ \ \ , \ \ \ 69.44\ \ \ , \ \ \ 23.64\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ 16.44\ \ \ , \ \ \ 69.44\ \ \ }, 
        
{\ \ \ 46.51\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 53.19\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-6.68\)\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 57.87\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 58.36\ \ \ , \ \ \ 
          346.81\ \ , \ \ \ \(-0.49\)\ \ \ , \ \ \ \(-346.81\)\ }, 
        
{\ \ \ 35.49\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 29.55\ \ \ , \ \ \ 
          414.89\ \ , \ \ \ 5.94\ \ \ \ , \ \ \ \(-414.89\)\ }, 
        
{\ \ \ 45.04\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 46.79\ \ \ , \ \ \ 
          1914.89\ , \ \ \ \(-1.75\)\ \ \ , \ \ \ \(-1914.89\)\ \ \ \ }, 
        
{\ \ \ 49.38\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 38.68\ \ \ , \ \ \ 
          1276.60\ , \ \ \ 10.70\ \ \ , \ \ \ \(-1276.60\)\ \ \ \ }, 
        
{\ \ \ 35.83\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 39.89\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-4.06\)\ \ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 59.16\ \ \ , \ \ \ 0.00\ \ \ \ , \ \ \ 91.71\ \ \ , \ \ \ 
          0.00\ \ \ \ , \ \ \ \(-32.55\)\ \ , \ \ \ 0.00\ \ \ \ }, 
        
{\ \ \ 38.27\ \ \ , \ \ \ 833.33\ \ , \ \ \ 43.52\ \ \ , \ \ \ 
          691.49\ \ , \ \ \ \(-5.25\)\ \ \ , \ \ \ 141.84\ \ }, 
        
{\ \ \ 23.38\ \ \ , \ \ \ 925.93\ \ , \ \ \ 44.91\ \ \ , \ \ \ 
          308.51\ \ , \ \ \ \(-21.53\)\ \ , \ \ \ 617.42\ \ }, 
        
{\ \ \ 41.25\ \ \ , \ \ \ 20285.19\ \ \ \ , \ \ \ 64.94\ \ \ , 
          \ \ \ 0.00\ \ \ \ , \ \ \ \(-23.69\)\ \ , \ \ \ 20285.19\ \ \ \ }, 
        
{\ \ \ 111.11\ \ , \ \ \ 2777.78\ , \ \ \ 51.48\ \ \ , \ \ \ 
          11563.83\ \ \ \ , \ \ \ 59.64\ \ \ , \ \ \ \(-8786.05\)\ \ \ \ }, 
        
{\ \ \ 20.91\ \ \ , \ \ \ 537.04\ \ , \ \ \ 47.87\ \ \ , \ \ \ 0.00
          \ \ \ \ , \ \ \ \(-26.96\)\ \ , \ \ \ 537.04\ \ }, 
        
{\ \ \ 32.08\ \ \ , \ \ \ 462.96\ \ , \ \ \ 50.06\ \ \ , \ \ \ 
          9680.85\ , \ \ \ \(-17.98\)\ \ , \ \ \ \(-9217.89\)\ \ \ \ }, 
        
{\ \ \ 48.04\ \ \ , \ \ \ 1970.80\ , \ \ \ 47.93\ \ \ , \ \ \ 
          2174.80\ , \ \ \ 0.11\ \ \ \ , \ \ \ \(-204.00\)\ }
		}\)

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