1Dr. Özden Engin Çakıcı ITEC 610SampleExamination 1Show all work. Unsubstantiated answers receive no credit. Be sure to simplify all results. Report results to four decimal places. Calculator, computer(using only Excel or SPSSis allowed), one sheet of notes, and dictionary permitted. Allow 80minutes. Name: __________________________Question Points1234_________________Total 21. (20points) Data Analysis Using Descriptive Statistics Two different machines at Eagle Mills fill boxes with bran flakes cereal. The quality control manager has set a target weight of the contents of a filled box at 24ounces. To check the performance of each machine, the manager randomly samples 15 boxes filled by each machine in a single production run and weighs the contents. The data set from a recent production run follows.Box NumberMachine NumberWeight of Contents (ozs)Box NumberMachine NumberWeight of Contents (ozs)1124.0216223.942123.8917223.883124.1118224.114124.0619224.055123.8120224.026123.8721223.907123.8822224.078124.0223224.079124.0624224.0410123.9625223.9911123.9126224.1012123.9827224.0113124.0228224.1414123.9829223.9115123.9030224.03a. (14points) Fill in the chart below.Machine 1Machine 2Mean Median Mode Range Standard Deviation b. (6points) Eachmachine is supposed to fill boxes with a target weight of 24 ounces. How is each machine performing with respect to this standard? Be sure to use the statistical measures that you reported in part a. to answer this question. 32. (20points) Probability Eagle Manufacturing is a mid-size company that recently conducted a survey of its employees to determine their attitudes toward a buyout of the company’s stock. The company’s 1,040 employees were asked whether they favored a buyout and when they were planning to retire. Their responses are given in the table below. Plan to Retire in (years)<55 to 15> 15Favor BuyoutYes14075179No60122464Suppose that one of the surveyed employees is selected at random. Using this data set, find the following probabilities. a.(4points) The employee does not favor a buyout. b.(4points) The employee plans to retire in more than 15 years. c.(4points) The employee favors a buyout or plans to retire in 5 to 15 years. d.(4points) Given that the employee plans to retire in less than 5 years, the employee does not favor the buyout. e.(4points) Let A be the event that the employee favors thebuyout. Let B be the event that the employee plans to retire in more than 15 years. Are A and B independent? Explain. 43. (15points) Probability 3.1 (7.5 points) Eagle Computers manufactures portable disk drives. Eagle knows that a shipment of 30 disk drives sent to a large discount store contains eight defective drives. Eagle also knows that the store will choose two of the drives at random, test them, and accept the shipment if both drives are not defective. What is the probability that the shipmentis accepted? 3.2 (7.5 points) Eagle Nursery advertises that is has 10 elm trees for sale. Unknown to the nursery, three of the trees have already been infected with Dutch elm disease and will die within a year. If a buyer purchases two trees at random from the lot, what is the probability that both trees will be healthy? That at least one of the trees is infected?54. (15points) Discrete Random Variable Six people apply for two identical positions in a company. Four are minority applicants and the remainder are nonminority. All the applicants are equally qualified and the choice is therefore a random selection of two applicants from the six available. Let the random variable X = number of minority applicants chosen, where x = 0, 1, 2. Construct the probability distribution of X. Find E(X) and Var (X).
0 comments