Exam 3 MH 350 Statistics Winter 2018 Name You ma However, you must sh y use Exce

Question

Exam 3 MH 350 Statistics Winter 2018 Name You ma However, you must sh y use Excel, PhStat, and a graphing calculator to solve the following problems. ow supporting work to substantiate each response. No credit will be without supporting work!! Each question is worth 20 points 1. 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 Before - After- Gain or Loss 284 258 189 202 181 353 427 234 6 416 690 7 426 676 8 421 623 267 307 384 459 347 397 12 248 278 10 At the 0.05 level of significance, is there evidence that the mean bone marrow micro-vessel density is higher before than after the stem cell transplant. Be sure to list your hypotheses, draw a graph, write a decision rule, and state your conclusion in the context of the problem being addressed.

Explanation / Answer

di = Before - After
The null and alternative hypothesis are,
Ho : di = 0 Vs Ha: di > 0
decision rule- If P-vale < alpha then Reject Ho
P-vale= 0.004933578 < alpha =0.05 , Reject Ho
Conclusion - From given sample information there is enough evidence to say that the mean bone marrow micro-vessel density is higher before than the after the stem cell transplant.

Patient Before After difference(di) 1 258 284 -26 2 189 234 -45 3 202 181 21 5 353 427 -74 6 416 690 -274 7 426 676 -250 8 421 623 -202 9 267 307 -40 10 384 459 -75 11 347 397 -50 12 248 278 -30 t-Test: Paired Two Sample for Means Variable 1 Variable 2 Mean 319.1818 414.1818 Variance 7948.164 32451.76 Observations 11 11 Pearson Correlation 0.951576 Hypothesized Mean Difference 0 df 10 t Stat -3.17715 P(T<=t) one-tail 0.004934 t Critical one-tail 1.812461 P(T<=t) two-tail 0.009867 t Critical two-tail 2.228139

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