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Multiple myeloma or blood plasma cancer is characterized by increased blood vessel formulation in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patient’s own stem cells. The following data represent the bone marrow microvessel density for a sample of 7 patients who had a complete response to a stem cell transplant as measured by blood and urine tests. Two measurements were taken: the first immediately prior to the stem cell transplant, and the second at the time of the complete response.
Patient 1 2 3 4 5 6 7
Before 158 189 202 353 416 426 441
After 284 214 101 227 290 176 290
What is the p-value associated with the test of hypothesis you conducted?
A. p = .057493
B. p = .942597
C. p = .114986
D. p = .885014
Before 158 189 202 353 416 426 441
After 284 214 101 227 290 176 290
difference = -126 -25 101 126 126 250 151
Find the mean and standard deviation of differences:
Mean = 122.14
Standard deviation = 123.7
H0: Mean of the differences is 0
Ha : Mean of the differences is different from 0
Apply the t-test
Sample mean = 122.14
Standard deviation = 123.7
Standard error of mean = s / √ n
Standard error of mean = 123.7 / √ 7
SE = 123.7/2.6458
Standard error of mean 46.7542
t = (xbar- μ ) / SE
t = (122.14-0) / 46.7542
t = 2.6124
P( t < -2.6124 or t > 2.6124) = 2P(t > 2.6124) = 0.0399
I am getting a p-value that is different from all of your choices. I used a two-tailed test. If it were a one-tailed test, the p-value would be still smaller.
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