Final_Exam_Stat_Spring_2006

Final_Exam_Stat_Spring_2006 - Name_ ID_ STATISTICS (V31....

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Name___________________________________ ID______________________________________ STATISTICS (V31. 0018.009) New York University Inst. Luis J. Hall Spring 2006 THE EXAM CONTAINS FOUR QUESTIONS. PLEASE MAKE SURE TO ANSWER ALL OF THEM Solve the problem. All question in the problem has the same number of points. 1) (30 points) A certain HMO is attempting to show the benefits of managed care to an insurance company. The HMO believes that certain types of doctors are more cost-effective than others. One theory is that Certification Level is an important factor in measuring the cost-effectiveness of physicians. To investigate this, the HMO obtained independent random samples of 20 physicians from each of the three certification levels-- Board certified (C); Uncertified, board eligible (E); and Uncertified, board ineligible (I)-- and recorded the total per member per month charges for each (a total of 60 physicians). In order to compare the mean charges for the three groups, the data will be subjected to an analysis of variance. The results of the ANOVA are summarized in the following table. Take a = 0.01 Source df SS Treatments 2 5422.968 Error 57 7455.6 a. Explain the assumptions required for this ANOVA experiment. b. Determine the total variation in the sample and interpret the meaning of this total variation in the sample. Explaing what is the meaning of an analysis of variance in this case? c. Is this a one or two factor experiment? Explain. d. Write the null hypothesis tested by the ANOVA and the alternative hypothesis. e. Conduct an F test with 99% of confidence. f. Suppose that the researcher finds out after presenting his results that doctors can have both status when they are Uncertified. They can be eligible and ineligible at the same time and 10 doctors in the sample are appearing in both groups. Can this affect your previous result? How would you fix this problem if it exists.
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Final_Exam_Stat_Spring_2006 - Name_ ID_ STATISTICS (V31....

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