Question 206808: Multiple myeloma or blood plasma cancer is characterized by increased blood vessels formulation (angiogenesis) in the bone marrow that is a prognostic factor in survival. One treatment approach used for multiple myeloma is stem cell transplantation with the patients own stem cells. The following data myeloma represents the bone marrow micro- vessel density for patients who had had a complete response to the stem cell transplant as measured by blood and urine tests. The measurements were taken immediately prior to the stem cell transplants and at the time of the complete response.
Patient Before After
1 158 284
2 189 214
3 202 101
4 353 227
5 416 290
6 426 176
7 441 290
a) At the 0.05 level of significance, is there evidence that the mean bone marrow microvessel density is higher before the stem cell transplant than after the cell transplant?
b) Interpret the meaning of the p-value in (a)
c) Construct and interpret a 95% confidence interval estimate of the mean differences in bone marrow microvessel density before and after the stem cell transplant.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Patient Before After
1 158 284
2 189 214
3 202 101
4 353 227
5 416 290
6 426 176
7 441 290
a) At the 0.05 level of significance, is there evidence that the mean bone marrow microvessel density is higher before the stem cell transplant than after the cell transplant?
I ran a 2-Sample T-Test and got the following results:
test statistic: t = 1.5924..
p-value: 0.072..
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b) Interpret the meaning of the p-value in (a)
More than 7% of test results could have provided stronger
evidence for rejecting Ho, where Ho states : u(before)=u(after)
Therefore, since p is greater than 5%, fail to reject Ho.
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c) Construct and interpret a 95% confidence interval estimate of the mean differences in bone marrow microvessel density before and after the stem cell transplant.
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I ran a 2-Sample T-Interval program and got the following:
-35.28 < u(b)-u(a)< 207.56
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Since 0 is in the 95% CI, we Fail to reject Ho which says
u(b)-u(a)= 0
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Cheers,
Stan H.
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