5 Statistics Homework Help

Ryyrel
timer Asked: Mar 3rd, 2016

Question Description

Some of the work requires you to use QM for Windows. You must show screenshots of the process you took and numbers entered to get answers.


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Name: Directions:      In this project you will be using the States Data file that is found in Doc Sharing under the Instructor-Graded Projects: Steps for accessing the States Data file: 1. Open your Excel with PhStat2 2. Click File—Open 3. Select the States Data file Not all questions require the use of technology or the States Date file. You may insert your answers, including any charts, graphs, or output, on this document. Be sure to put your name on this document and save it to your computer. 1. Allen Machines specializes in developing weed-harvesting equipment that is used to clear small lakes of weeds. Allen Machines is contemplating the construction of a machine that would harvest weeds on narrow rivers and waterways. The activities and time in weeks necessary to build one of these experimental machines are shown in the table below. Activity A B C D E F G H Immediate Predecessors none none A A B B C,E D,F Time in Weeks 10 10 6 4 2 3 5 6 1. What is the minimum possible time required for completing the project? 2. What is the latest possible time that Activity D may be started without delaying the completion of the project? 3. What is the latest finish time for Activity F? 4. What is/are the critical path(s)? 2. The following is the activity and associated costs for the renovation of the local high school football stadium. The times are in weeks. Activity A B C D E Immediate Predecessor A B B Time 2 7 3 2 8 Cost ($) 5,000 40,000 55,000 10,000 32,000 1 F G H C, D C, D E, F 3 5 4 25,000 46,000 20,000 1. What is the critical path for this project? 2. How much of the total budget would be spent in Week 8 (Period 8) with the earliest start budget? 3. Precision Manufacturing has a government contract to produce stainless steel rods for use in military aircraft. Each rod is required to be 20 millimeters in diameter. Each hour, random samples of size n = 4 rods are measured to check process control. Five hours of observations yielded the following: Time 9 A.M. 10 A.M. 11 A.M. Noon 1 P.M. Rod 1 19.8 20.1 19.9 20.1 19.9 Diameter Rod 2 Rod 3 20.4 19.9 20.2 20.3 20.5 19.9 19.8 20.3 20.1 19.9 Rod 4 19.3 20.2 19.9 20.2 19.9 1. Construct the xbar-chart and the R-chart. 2. Is the process in control? 4. Modern Electronics specializes in manufacturing modern electronic components. It also builds the equipment that produces the components. Modern Electronics is considering building a new facility but the estimated profits would be impacted by the type of market that develops. The probability for a strong market is 0.3; for a fair market is 0.5; and for a poor market is 0.2. You are responsible for advising the president of Modern Electronics on the type facility that should be built or to not build a facility at all. The table shows the estimated profits under each market and for each size facility. Build a large facility Build a medium-size facility Build a small facility Do not build a facility Strong Market 450,000 300,000 100,000 0 Estimated Profits Fair Market 110,000 149,000 100,000 0 Poor Market -310,000 -150,000 2,000 0 1. Provide a recommendation to the president that maximizes profits 2. Provide a second recommendation to the president that minimizes regret. 2 5. Consulting income at Kaplan Associates for the period February – July is shown in the table below. Assume that the initial forecast for February is $63,000. Use Exponential smoothing to forecast August’s income. Month February March April May June July Income ($1,000) 69.0 66.5 66.8 70.7 72.3 71.8 1. Use a smoothing constant of α = 0.35. 2. Use a smoothing constant of α = 0.65. 3. Which forecasting constant is best in this situation? 3 4
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