Multiple myeloma, or blood plasma cancer is characterized by increased blood vessel formulation (angiogenesis) in the bone marrow that is a predictive factor in survival.  One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The data in the table below represent the bone marrow micro-vessel density for patients who had a complete response to the stem cell transplant and at the time the complete response was determined.  Patient Before After      1   158    284      2   189    214      3   202    101      4    353    227      5    416    290      6    426    176      7    441    290

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Multiple myeloma, or blood plasma cancer is characterized by increased blood vessel formulation (angiogenesis) in the bone marrow that is a predictive factor in survival.  One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The data in the table below represent the bone marrow micro-vessel density for patients who had a complete response to the stem cell transplant and at the time the complete response was determined.

 Patient

Before

After

     1

  158

   284

     2

  189

   214

     3

  202

   101

     4

   353

   227

     5

   416

   290

     6

   426

   176

     7

   441

   290

Please show work done by hand and/or using Excel formulas, graphing calculator unavailable.

 At the 0.05 level of significance, is there evidence that the mean bone marrow micro-vessel density is

 higher before the stem cell transplant than after the stem cell transplant?   

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