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- Morris’s kidneys have failed and he is awaiting a kidney transplant. His doctor gives him this information for patients in his condition. Of those patients who get matched with a kidney, 90% survey the transplant operation and 10% do not. The transplant succeeds in 60% of those who survive and the other 40% must return to kidney dialysis. The proportions of those who survive for at least 5 years post transplant is 70% for those who had a successful transplant and 50% for those who return to dialysis. Assuming Morris is matched with a kidney, what is his chance of surviving 5 years post transplant. It may be helpful to draw a tree diagram to solve this problem.Harriet McNeil, proprietor of McNeil’s Auto Mall, believes that it is good business for her automobile dealership to have more customers on the lot than can be served, as she believes this creates an impression that demand for the automobiles on her lot is high. However, she also understands that if there are far more customers on the lot than can be served by her salespeople, her dealership may lose sales to customers who become frustrated and leave without making a purchase. Ms. McNeil is primarily concerned about the staffing of salespeople on her lot on Saturday mornings (8:00 a.m. to noon), which are the busiest time of the week for McNeil’s Auto Mall. On Saturday mornings, an average of 6.8 customers arrive per hour. The customers arrive randomly at a constant rate throughout the morning, and a salesperson spends an average of one hour with a customer. Ms. McNeil’s experience has led her to conclude that if there are two more customers on her lot than can be served at any time on…The town councils of Cambridge, Bridgwater and Bath each placed an order with a tree nursery. Cambridge ordered 4 lime trees, 20 plane trees and 12 rowan trees, and the total cost was £1296. Bridgwater ordered 10 lime trees, 6 plane trees and 32 rowan trees, and the total cost was £1746. Bath ordered 8 lime trees, 14 plane trees and 16 rowan trees, and the total cost was £1498.By modelling the problem as a system of three linear simultaneousequations, use matrices to find the cost per tree of each type of tree.
- Naomi is planning a small festival concert downtown as part of a revitalization effort. Her next major decision is deciding upon a location. There are four locations that are suitable for her needs. They each have very different ways to handle rainy weather. The Lima, Nickel, and Otros locations will lose space in the event that it rains, while the Morello location will lose space if it doesn't rain (the owner has a restaurant with patio seating). Based on the available space, Naomi has calculated the net income for each location depending upon whether it rains or not. These results are shown in the attached file. <-- click here for Excel file a) If Naomi uses the optimistic decision making method, she should choose the Answer location. b) If Naomi uses the pessimistic decision making method, she should choose the Answer location. c) If Naomi uses the minimax regret decision making method, she will find that the regret for the Nickel Boulevard location when it rains is Answer. After…Henry Lee is the Vice President of Purchasing for the consumer electronics division of the Major Electric Corporation (MEC). The company recently introduced a new type of video camcorder that has taken the market by storm. Although Henry is pleased with the strong demand for this product in the market place, it has been a challenge to keep up with MEC's distributors' orders of this camcorder. His current challenge is how to meet requests from MEC's major distributors in Pittsburgh, Denver, Baltimore, and Houston who have placed orders of 10,000, 20,000, 30,000, and 25,000 units, respectively, for delivery in 2 months (there is a 1-month manufacturing and one-month shipping lead time for this product). MEC has contracts with companies in Hong Kong, Korea, and Singapore who manufacture camcorders for the company under the MEC label. These contracts require MEC to order a specified minimum number of units each month at a guaranteed per unit cost. The contracts also specify the maximum…Luke's teacher has assigned each student in his class an online quiz, which is made up of 10 multiple-choice questions with 4 options each. Luke hasn't been paying attention in class and has to guess on each question. However, his teacher allows each student to take the quiz three times and will record the highest of the three scores. A passing score is 6 or more correct out of 10. We want to perform a simulation to estimate the score that Luke will earn on the quiz if he guesses at random on all the questions. The dotplot shows Luke's simulated quiz score in 50 trials of the simulation. Doug is in the same class and claims to understand some of the material. 1 N 10000 2 …………………………………at 3 …………………… 4 3 ……………………●●●●●▬ 5 Simulated quiz score -●●●●● 10 6 7 If Doug scored 8 points on the quiz, is there convincing evidence that he understands some of the material? Why or why not? Yes, it is unlikely that Doug would score higher than 6 out of 10 based upon randomly guessing the answers. Since…
- My neighborhood has a lot of dogs. In fact, when I walk my dog, Wrigley, only 2% of the time do we not see any other dogs. Gary has three dogs (Salsa, Nacho, and Dublin), and we see only Gary and his dogs about 30% of the time when we are on a walk. Lesley has two dogs (Buster and Oreo), and we see only Lesley and her dogs 20% of the time when we are on a walk. Gary and Lesley’s dogs don’t get along; we never see them at the same time. Margo has one dog (Bond), and we see only Margo and Bond 25% of the time when we are on a walk. 10% of the time we see Margo and Lesley. What is the probability that Wrigley and I see both Gary (Salsa, Nacho and Dublin) and Margo (Bond) on a walk? What is the probability we see at least one dog owner on our walk? What is the probability we see only Margo or only Gary? Are the events seeing Gary and seeing Margo independent? EXPLAIN briefly. Are the events of seeing Lesley and seeing Gary mutually exclusive? EXPLAIN briefly.Patty has just completed her second semester in college. She earned a grade of A in her 1-hour discrete math course, a grade of A in her 4-hour sociology course, a grade of A in her 4-hour biology course, and a grade of C in her 2-hour creative writing course. Assuming that A equals 4 points, B equals 3 points, C equals 2 points, D equals 1 point, and F is worth no points, determine Patty's grade-point average for the semester. ..... Patty's grade point average is (Round to two decimal places as needed.)If I go on vacation, I'll spend money. If I spend money, I'll be broke. If I'm broke, I'll have to get another job. What is the conclusion?
- A health scientist is testing the effectiveness of three different diets (Diet A, Diet B, and Diet C). To determine diet effectiveness, a group of 72 participants were weighed and then randomly assigned to adhere to one of the three diets for a month (N = 24 for each group). At the end of the month, each participant was weighed again and the amount of weight lost was calculated in kilograms (kg). Using the variables “Diet” and “Weight Loss kg”, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, AND conduct Tukey's Post Hoc testing to find out which of the three diets was most effective. Identify the correct symbolic notation for the alternative hypothesis. A. HA: µ1 ≠ µ2 ≠ µ3 B. H0: µ1 = µ2 C. H0: µ1 = µ2 = µ3 D. HA: µ1 ≠ µ2A health scientist is testing the effectiveness of three different diets (Diet A, Diet B, and Diet C). To determine diet effectiveness, a group of 72 participants were weighed and then randomly assigned to adhere to one of the three diets for a month (N = 24 for each group). At the end of the month, each participant was weighed again and the amount of weight lost was calculated in kilograms (kg). Using the variables “Diet” and “Weight Loss kg”, conduct a One-Way, Between Subjects, ANOVA, at α = 0.05, AND conduct Tukey's Post Hoc testing to find out which of the three diets was most effective. Identify the correct symbolic notation for the null hypothesis. A. HA: µ1 ≠ µ2 B. H0: µ1 = µ2 = µ3 C. HA: µ1 ≠ µ2 ≠ µ3 D. H0: µ1 = µ2A fourth-grade teacher suspects that the time she administers a test, and what sort of snack her students have before the test, affects their performance. To test her theory, she assigns 90 fourth-grade students to one of three groups. One group gets candy (jelly beans) for their 9:55 AM snack. Another group gets a high-protein snack (cheese) for their 9:55 AM snack. The third group does not get a 9:55 AM snack. The teacher also randomly assigns 10 of the students in each snack group to take the test at three different times: 10:00 AM (right after snack), 11:00 AM (an hour after snack), and 12:00 PM (right before lunch). Examining the graph and the table of means, which of the following is a null hypothesis that might be rejected using a two-factor analysis of variance? Check all that apply. There is no interaction between the type of snack and the time of test μ10:00 AM10:00 AM ≠ μ11:00 AM11:00 AM ≠ μ12:00 PM12:00 PM μ10:00 AM10:00 AM = μ11:00 AM11:00 AM =…