Test1_sol - Name ST 560 Test 1 Summer 2008 Instructions...

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Name ST 560 Test 1 Summer 2008 Instructions: Show all work in a neat and orderly manner. Answers to discussion questions should be brief and concise. If you have need clarifications, please email your questions to the instructor. Do NOT post your questions on the eLearning Discussion Board. Your instructor will post edited versions of comments on the Discussion Board for everyone to view. Submit your final solutions via eLearning Assignments folder by the specified date. 1. Match the data description with the type of data. Place the letter Q next to Qualitative/Categorical variables, the letter D next to Discrete Quantitative variables, and the letter C next to Continuous Quantitative variables. D Number of customers entering a bank within a 1-hour period (4) C Time to complete a customer transaction C Length of a manufactured part Q Eye Color (Blue, Brown, Green, etc.) C A person’s age Briefly explain why classifying variable types is an important first step in data analysis. (3) It’s because the type of data drives the analysis.   The appropriate classification of data is fairly clear and may help choosing the correct statistical method for analyzing the data. The choice of what statistical method to apply to data depends on the classification of variable types, and a judgment error on this point will result in flawed conclusions.

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2. A hospital monitors the number of patients under the care of the staff anesthesiologist on any given day. The distribution of the number of patients, X, receiving treatment on a given day is provided in the table below. a) Determine the expected number of patients receiving care on a randomly selected day. (5) E(x)=u=sumproduct(Xi)P(xi)= 1.35 b) Determine the standard deviation of the number of patients receiving care. (5) sigma= sqrt( Σ( x-u)^2*P(X=x))= sqrt( Σ x^2*P(X=x)-u^2)= 0.8633 c) If the profit is \$2,000 per patient, what is the expect profit on any given day? (4) Expect profit= E(x)*2000= \$2700 What is the standard deviation of profits per day? (4) sigma of profit= sigma*2000= 1726.56 d) Suppose we have a staff of three (3) anesthesiologists. Let T represent the total number of patients under the care of our staff in a randomly selected day. Assume the anesthesiologists
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