Question A: In the following question analyze the data.Assume that we have followed two clinicians, Smith and Jones, and constructed the decision trees in Figure 1. Use the followingdata Figure 1:Practice Patterns of Dr. Jones and Smith 1.What is the expected length of stay for each of the clinicians? 2.What is the expected length of stay for Dr. Smith if he were to take care of patients of Dr. Jones? 3.What is the expected length of stay for Dr. Jones if he were to take of patients of Dr. Smith? Question B: The following data report length of stay (LOS) for 10 patients of Dr. Jones and 10 patients of Dr. Smith. What is the expected outcome (average outcome) for Dr. Smith? What is the expected outcomes if Dr. Jones if he was seeing Dr. Smith's patients? To answer this question, replace each outcome of Dr. Jones with average outcome of same type of patient seen by Dr. Smith. Is Dr. Smith more efficient than Dr. Jones?    Dr. Smith   Patient Previous MI CHF Shock LOS   1 1 1 0 4   2 1 1 0 5   3 1 0 0 4   4 1 0 1 5   5 1 0 1 4   6 1 0 1 4   7 1 0 1 5   8 0 0 0 2   9 0 0 0 2   10 0 0 0 1    Dr. Jones   Patient Previous MI CHF Shock LOS   1 1 1 0 5   2 1 1 0 5   3 1 1 0 5   4 1 1 1 5   5 1 0 1 5   6 1 0 1 5   7 1 0 1 5   8 1 0 0 4   9 0 0 0 2   10 0 0 0 2 Question C: In data presented in question B, what is the expected outcome if Dr. Smith sees patients of Dr. Jones?Note that Dr. Smith does not see any patient like patient 4 of Dr. Jones.We need to estimate a synthetic control for this patient.To do so, filter the data for patients of Dr. Smith (this is already done since the data of Dr. Smith is presented separately).Regress length of stay on previous MI, CHF, and Shock.You learned about regression in the first part of this course. Evaluate the regression equation at values corresponding to the condition of patient 8 of Dr. Jones.Use the regression prediction of length of stay to create a synthetic patient for Dr. Smith and calculate the expected outcome for Dr. Smith seeing patients of Dr. Jones.

In the book Essentials of Marketing Research, William R. Dillon, Thomas J. Madden, and Neil H. Firtle present the results of a concept study for a new wine cooler. Three hundred consumers between 21 and 49 years old were randomly selected. After sampling the new beverage, each was asked to rate the appeal of the phrase: "Not sweet like wine coolers, not filling like beer, and more refreshing than wine or mixed drinks" as it relates to the new wine cooler. The rating was made on a scale from 1 5o 5, with 5 representing "extremely appealing" and with 1 representing "not at all appealing". The data is presented in the attached Excel work sheet. You decide that the best way to respond to your management's request is to analyze the following. Please calculate the items below, responding to the prompts. 2. Estimate the probability that a randomly selected 21 to 49 year old consumerWould give the phrase a rating of 5Would give the phrase a rating of 3 or higherIs in the 21-24 age groupIs a male who gives the phrase a rating of 4Is a 35 to 49 year old who gives the phrase a rating of 2 or lower3. You have data which shows how many cartons of the wine cooler were bought per customer in a month.Explain what a probability distribution is then create one using data provided to you.What is the mean and the standard deviation of your probability distribution?4. Your surveys suggest that 30% of the people who heard a test advertisement for the wine cooler would go to the store and buy some to try it. Suppose that six customers enter the store and that they make independent purchase decisions.Let x = the number of the six customers who will make a purchase decision. Write the binomial formula for this situation.Create a binomial distribution. Using the values from the binomial distribution *The probability that exactly five customers purchase the wine cooler. *The probability that at no more than four customers purchase the wine cooler. *The probability that two or fewer customers purchase the wine cooler. *The probability that at least one customer purchases the wine cooler. Rating of the appeal of the phrase as it relates to the new wine cooler Total Sample Gender Age Male Female 21 - 24 25 -34 35-49 Extremely appealing (5) 141 70 83 48 53 40 Somewhat appealing (4) 96 49 35 36 32 28 Neither appealing nor not appealing (3) 41 21 20 14 16 11 Somewhat unappealing (2) 13 7 6 4 6 3 Not at all appealing (1) 9 3 6 4 3 2 QUANTITY PURCHASED PER PERSON IN ONE MONTH # of six packs purchased # people who purchased this amount 0 3 1 7 2 7 3 12 4 15 5 11 6 10 7 7 8 5 9 5 10 3