The article "Multi-objective Scheduling Problems: Determination of Pruned Pareto Sets"(H. Taboada and D. Coit, IIE Transactions, 2008:552–564), presents examples in adiscussion of optimization methods for industrial scheduling and production planning. Inone example, seven different jobs were performed on each of five machines. The means andstandard deviations of the processing times for each machine are presented in the followingtable.MachineSample SizeMeanSDA25.4310.6723.7113.9244.5715.90D23.1412.7558.0019.11Construct an ANOVA table. You may give a range for the P-value.Can you conclude that there are differences among the mean processing times?a.b.

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Answered: The article "Multi-objective Scheduling…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Myrtle Air Express decided to offer direct service from Cleveland to Myrtle Beach. Management must decide between a full-price service using the company's new fleet of jet aircraft and a discount service using smaller capacity commuter planes. It is clear that the best choice depends on the market reaction to the service Myrtle Air offers. Management developed estimates of the contribution to provit for each type of service based upon two possible levels of demand for service to Myrtle Beach: strong and weak. The following table shows the estimated quarterly profits( in thousands of dollars). Suppose the management of Myrtle Air Express believes that the probability of strong demand is 0.7 and the probability of weak demand is 0.3. Demand for Service Servive Strong Weak Full-price $960 -$490 Discount…
An auditor for a local court system is tasked with comparing the rulings of two judges. The auditor needs to determine if Judge Hughes issues shorter sentences than Judge Wilson. The data below are the sentence lengths, in months, issued by each judge in their last twelve cases that dealt with operating a motor vehicle without a license. Test the claim that Judge Hughes issues shorter sentences than Judge Wilson for this particular type of case at the 0.10 level of significance. Let Judge Hughes' sentences be Population 1 and let Judge Wilson's sentences be Population 2. Assume that both populations are approximately normal and that the population variances are equal. Judge Hughes 24 30 + Judge 18 18 36 30 Wilson 12 36 36 Copy Data Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho :μ₁ = 1₂ Ha: ₁ 12 24 M₂ 12 30 36 18 36 36 24 12
The MAKSI FEB UI program is considering buying a copier machine among 5 (five) types, namely the FC1, FC2, FC3, FC4 and FC5 types, where each type has different efficiency in terms of the speed of the number of pages (sheets) copied in one minute. Six staff members conducted an experiment to run each type of copier. The following data shows the number of copied pages (sheets) that can be produced in one minute according to the type of copier, 1 trial, and according to the staff assigned to run each type of copier: FC1 FC2 FC3 FC4 FC5 Staff 1 60 50 63 60 64 Staff 2 56 55 65 58 60 Staff 3 54 56 65 56 58 Staff 4 56 57 67 65 60 Staff 5 54 56 65 60 60 Staff 6 55 52 58 60 55 Some of the results of the calculation of the sum of squares (sum-square) and the average squared (mean square) required for the ANOVA test are provided in the following table: Source of Variation SS Df MS Fstat FTable CopierMachine 333.33 ……… ……… ……… ……… Staff ……….. ……… ……… ……… ……… Error 129.47 ……… ……… Total 532.67 …………
Motorcycle Safety: As part of a study on motorcycle safety, the Texas Department of Motor Vehicles (DMV) collected data on the number of serious motorcycle accidents per 1000 licenses and the percentage of licensed drivers under the age of 25 in a sample of 42 counties. Data was collected over a one-year period follow and is contained in the attached data file named Motorcycles. Prepare a report that addresses the following: a. Develop numerical and graphical summaries of the data. b. Use regression analysis to investigate the relationship between the number of serious motorcycle accidents and the percentage of drivers under the age of 25. Discuss your findings. c. What conclusion and recommendations can you derive from your analysis?
The article "A Robust Optimization Approach for the Capacitated Vehicle Routing Problem with Demand Uncertainty" (I. Sungur, F. Ordonez, and M. Dessouky, IIE Transactions, 2008:509-523) discusses methods to reduce transportation costs while satisfying demands. In one study, the percent demand that is unmet (y) and the percent of vehicle capacity (x) needed to meet the expected demand were recorded for 27 different scenarios. The results are presented in the following table. х У 0.5 82 0.0 0.7 1.3 0.8 11 0.9 1.2 1.3 0.2 0.8 1.4 0.9 1.4 0.4 1.7 93 11 93 0.8 90 0.3 0.2 1.0 1.0 89 1.0 93 1.3 91 1.3 94 1.2 94 0.7 Compute the least-squares line for predicting unmet demand (y) from vehicle capacity (X). b. Compute 95% confidence intervals for B, and B,- Predict the unmet demand when the vehicle capacity is 93%. d. a. c. Find a 95% confidence interval for the mean unmet demand when the vehide capacity is 93%. Find a 95% prediction interval for the unmet demand for a scenario whose vehicle…
Fish of Lake Laengelmaevesi. An article by J. Puranen of the Department of Statistics, University of Helsinki, discussed a classic study on several variables of seven different species of fish caught in Lake Laengelmaevesi, Finland. On theWeissStats site, we present the data on weight (in grams) and length (in centimeters) from the nose to the beginning of the tail for four of the seven species. Perform the required parts for both the weight and length data. a. Obtain individual normal probability plots and the standard deviations of the samples. b. Perform a residual analysis. c. Use your results from parts (a) and (b) to decide whether conducting a one-way ANOVA test on the data is reasonable. If so, also do parts (d) and (e). d. Use a one-way ANOVA test to decide, at the 5% significance level, whether the data provide sufficient evidence to conclude that a difference exists among the means of the populations from which the samples were taken. e. Interpret your results from part (d)
(b): A taxi company is trying to decide whether the use of radial tires instead of regular belted tires improves fuel economy. Twelve cars were equipped with radial tires and driven over a prescribed test course. Without changing drivers, the same cars were then equipped with regular belted tires and driven once again over the test course. At 0.025 level, can we conclude that cars equipped with radial tires give better fuel economy than those equipped with belted tires. Assume the populations to be normally distributed. The gasoline consumption, in kilometers per liter, was recorded as follows: Kilometers per liter No. of cars Radial tires Belted tires 1 4.2 4.1 2 4.7 4.9 3 6.6 6.2 4 7.0 6.9 5 6.7 6.8 4.5 4.4 7 5.7 5.7 8 6.0 5.8 7.4 6.9 10 4.9 4.7 11 6.1 6.0 12 5.2 4.9
3. Does stress affect the recall ability of police witnesses? This issue was studied in an experiment that tested eyewitness memory a week after a nonstressful interrogation of a cooperative suspect and a stressful interrogation [the way of questioning] of an uncooperative suspect. The numbers of details recalled a week after the incident are summarized in the margin (based on data from "Eyewitness Memory of Police Trainees for Realistic Role Plays," by Yuille et al., Journal of Applied Psychology, Vol. 79, No. 6). Use 0.01 level of significance to test the claim in the article that stress decreased the amount recalled. Assume equal population variances. Nonstress Stress n1 = 40 X1 = 53.3 S1 = 11.6 n2 = 40 X2 = 45.3 S2 = 13.2 a. Claim (in symbolic form): Но: На: b. level of significance: test-statistic: tail of distribution:_ c. Decision Rule: Reject Ho if d. Computation e. Decision (Reject Ho or Failed to reject Ho) f. Conclusion
In an effort to inform political leaders and economists discussing the deregulation of electric and gas utilities, data on eight numerical variables from utility companies have been grouped using hierarchical clustering based on Euclidean distance to measure dissimilarity between observations and complete linkage as the agglomeration method. (a) Based on the following dendrogram, what is the most appropriate number of clusters to organize these utility companies? 6.5 6.0 5.5 5.0 4.5 4.0 3.5 Between-Cluster Distance 3.0 2.577 2.5 2.0 1.5 1.0 0.5 10 13 4 20 2 21 5 1 18 14 19 6 3 9 7 12 15 17 8 16 11 Cluster clusters are appropriate based on complete linkage. 4 Distance
The University of Michigan Health and Retirement Study (HRS) surveys more than 22,000 Americans over the age of 50 every two years. A subsample of the HRS participated in an Internet-based survey that collected information on a number of topical areas, including health (physical and mental health behaviors), psychosocial items, economics (income, assets, expectations, and consumption), and retirement. Two of the questions asked were: "Would you say your health is excellent, very good, good, fair, or poor?" and “Do you smoke cigarettes now?" Here is the two-way table that summarizes the answers on these two questions: Current smoker Нealth Yes No Excellent 25 484 Very good 115 1557 Good 145 1309 Fair 90 545 Рoor 29 11 This table gives the responses of a survey of 4310 Americans to questions about their health and whether they currently smoke cigarettes. You might find this chi-square table useful. Do these data satisfy our guidelines for safe use of the chi-square test? Enter your…
The more costly and time-consuming it is to export and import, the more difficult it is for local companies to be competitive and to reach international markets. As part of an initial investigation exploring foreign market entry, 9 countries were selected from each of four global regions. The cost associated with importing a standardized cargo of goods by sea transport in these countries (in US$ per container) is stored in the accompanying data table. Complete parts (a) through (d). East Asia & Pacific Eastern Europe & Central Asia Latin America & Caribbean Middle East & North Africa240 77 1200 466777 335 688 397266 396 970 554383 83 290 644580 150 545 181220 306 420 646389 1125 450 695233 655 583 754392 100 1500 779 c. At the 0.05 level of significance, is there evidence of a difference in the variation in cost of importing among the four global regions? Determine…
1) A cement producer, manufactures and then fills 40kg-bags of powder cement on twodistinct production tracks located in separate suburbs. To determine whether differencesexist between the average fill rates for the two tracks, a random sample of 25 bags fromTrack 1 and a random sample of 16 bags from Track 2 were recently selected. Each bag’sweight was measured and the following information measures from the samples arereported:Production ProductionTrack 1 Track 2n1 = 25 n2 = 16x2 = 40.02 x1 = 39.87 s1 = 0.59 s2 = 0.88 Supervision believes that the fill rates of the two tracks are normally distributed with equalvariances.Construct a 95% confidence interval estimate of the true mean difference between the twotracks.--------------------------------------------------------------------------------------------------------------2) Two independent simple random samples were selected from two normallydistributed populations with unequal variances yielded the following information:Sample 1…

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