Question 457500: 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. Use these data to answer questions 5 through 7.
Patient 1 2 3 4 5 6 7
Before 158 189 202 353 416 426 441
After 284 214 101 227 290 176 290
5. Perform an appropriate test of hypothesis to determine if there is evidence, at the .05 level of significance, to support the claim that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant? What is the value of the sample test statistic?
A. z = 1.8424
B. t = 1.8424
C. t = 2.7234
D. p = 2.7234
6. What is the p-value associated with the test of hypothesis you conducted?
A. p = .057493
B. p = .114986
C. p = .942597
D. p = .885014
7. At the .01 level of significance, is there sufficient evidence to conclude that the mean bone marrow microvessel density is higher before the stem cell transplant than after the stem cell transplant?
A. No
B. Yes
C. It is impossible to determine
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! # 5
Hint: The two data sets are NOT independent since the two data sets are derived from the same 7 patients. So in a way, the "after" data is in some way related to the "before" data.
So you CANNOT use either a two sample z or t test because those tests use the basic assumption that the two samples should be independent.
So you have to use the paired t-test.
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# 6
Use the test statistic found in #5 and tables found in your book or on the web to find the area under the T distribution curve (with degrees of freedom = n - 1 = 7 - 1 = 6) from the T test statistic onward to the right (note: this is a right tailed test)
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# 7
This is very similar to #5 but you use a 0.01 significance level instead of a 0.05 significance level.
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