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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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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The article "Multi-objective Scheduling Problems: Determination of Pruned Pareto Sets" (H. Taboada and D. Coit, IIE Transactions, 2008:552-564), presents examples in a discussion of optimization methods for industrial scheduling and production planning. In one example, seven different jobs were performed on each of five machines. The cost of each job on each machine is presented in the following table. Assume that it is of interest to determine whether costs differ between machines, but that it is not of interest whether costs differ between jobs. Job Machine 2 16 24 18 22 26 20 22 B 22 18 30 20 28 18 26 12 12 15 18 22 12 16 D 18 28 16 26 34 18 18 14 14 11 16 18 10 12 a. Identify the blocking factor and the treatment factor. b. Construct an ANOVA table. You may give ranges for the P-values. Can you conclude that there are differences in costs between some pairs of machines? Explain. d. Which pairs of machines, if any, can you conclude, at the 5% level, to have differing mean costs? C.…
A developmental psychologist interested in the attachment between full-term and pre-term infants and their mothers conducted a study to measure infant willingness to explore a strange environment by counting the number of toys infants handled during a five minute interval. Four groups of infants, two comprised of full-term infants and two of per-term infants, were observed both when their mothers were present and when their mothers were absent. The data is presented in the table that follows: Baby Birth Condition | Mother 1 # of Toys (toys) Identify one of the independent variables: Full-term Present Present 2 Full-term 6. 3 Full-term Present Present Full-term Full-term Full-term Full-term Full-term 4 5 Absent 6. 6. Absent 4 Absent 5 Absent Identify the other independent variable: 7 4 9. Pre-term Present 6. 10 Pre-term Present 7 11 Pre-term Present 5 12 Pre-term Present 4 Identify the dependent variable: 13 Pre-term Absent 3 14 Pre-term Pre-term Pre-term Absent 4 15 Absent 4 16 Absent…
12. Western Pygmy-Possum. The foraging behavior of the west- ern pygmy-possum was investigated in the article “Strategies of a Small Nectarivorous Marsupial, the Western Pygmy-Possum, in Re- sponse to Seasonal Variation in Food Availability" (Journal of Mam- malogy, Vol. 96, No. 6, pp. 1525–1535) by D. Morrant and S. Petit. The weights of adult male pygmy-possums in Australia are normally distributed with a mean of 8.5 g and a standard deviation of 0.3 g. a. Sketch the normal curve for the pygmy-possum weights. b. Find the sampling distribution of the sample mean for samples of size 4. Draw a graph of the normal curve associated with ĩ. c. Repeat part (b) for samples of size 9.
2 Required information The article "Multi-objective Scheduling Problems: Determination of Pruned Pareto Sets" (H. Taboada and D. Coit, IIE Transactions, 2008:552-564), presents examples in a discussion of optimization methods for industrial scheduling and production planning. In one example, seven different jobs were performed on each of five machines. The means and standard deviations of the processing times for each machine are presented in the following table. Machine Mean SD Sample Size A 25.43 10.67 7 B 23.71 13.92 7 k C 44.57 15.90 7 t D E 23.14 12.75 7 58.00 19.11 7 i < nces Construct an ANOVA table. (Enter your Sum of Squares, Mean Sum of Squares, and F calculations rounded to three decimal places.) Source DF Machine SS MS P F (Click to select) Error Total
In an LTL (less-than-truckload) trucking company, terminal docks include casual work- ers who are hired temporarily to account for peak loads. At the Omaha, Nebraska, dock, the minimum demand for casual workers during the seven days of the week (starting on Monday) is 20, 14, 10, 15, 18, 10, 12 workers. Each worker is contracted to work five con- secutive days. Determine an optimal weekly hiring practice of casual workers for the company.
A local bank has two branches in a cty: one in the business center of the city and another-in a residential area. The bank's operations manager wants to Improve front-office employee scheduling during the lunch hour (12:00-13:00) period. The manager starts with studying the customer walting times at the two branches and collects data for two groups of 35 customers at each branch. Customers at the business-center branch walted on average 3.8 minutes, whle those at the residential branch waited 4.4 minutes on average, Assume that the population standard deviations are 1.8 (business-center branch) and 2.5 tresidential branch). a. Considering the real-ife problem, determine the point estimate of the unknown quantity that needs to be estimated. (Round to two decimal places.) b. Determine the critical value needed to compute a Bs confidence interval (Round to two decimal places.) c. Compute the confidence interval the operations manager would be interested in computing using the confidence…
Every corporation has a governing board of directors.The number of individuals on a board varies from onecorporation to another. One of the authors of the article“Does Optimal Corporate Board Size Exist? AnEmpirical Analysis” (J. of Applied Finance, 2010:57–69) provided the accompanying data on the numberof directors on each board in a random sample of 204corporations.No. directors: 4 5 6 7 8 9Frequency: 3 12 13 25 24 42No. directors: 10 11 12 13 14 15Frequency: 23 19 16 11 5 4 No. directors: 16 17 21 24 32Frequency: 1 3 1 1 1a. Construct a histogram of the data based on relativefrequencies and comment on any interestingfeatures.b. Construct a frequency distribution in which thelast row includes all boards with at least 18 directors.If this distribution had appeared in the citedarticle, would you be able to draw a histogram?Explain.c. What proportion of these corporations have at most10 directors?d. What proportion of these corporations have morethan 15 directors?
Every corporation has a governing board of directors.The number of individuals on a board varies from onecorporation to another. One of the authors of the article“Does Optimal Corporate Board Size Exist? AnEmpirical Analysis” (J. of Applied Finance, 2010:57–69) provided the accompanying data on the numberof directors on each board in a random sample of 204corporations.No. directors: 4 5 6 7 8 9Frequency: 3 12 13 25 24 42 No. directors: 10 11 12 13 14 15Frequency: 23 19 16 11 5 4 No. directors: 16 17 21 24 32Frequency: 1 3 1 1 1 a. Construct a histogram of the data based on relativefrequencies and comment on any interestingfeatures.
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 …………
The Internet is rapidly becoming an essential source of information about health, nutrition, finances, and current events. Neunschwander, Abbott, and Mobley (2012) were interested in inequality of access to the Internet as a function of the characteristics of the participant. They recruited a very large sample of participants from the Indiana Supplemental Nutrition Assistance Program and surveyed them about their access to the technology. They observed that racial minorities, older persons, and persons with lower educational attainment were less likely to have a functioning computer at home and, relatedly, were less likely to have access to the Internet. Below are frequencies similar to those observed by the researchers. Owns a Computer Does Not Own a Computer Age: 18-30 378 336 Age: 71 and Older 23 127 Does the proportion of participants who own a computer differ significantly from group to group? Test with alpha = .05. Compute Cramer’s V to measure…
Why is it important to maximize the degree to which samples and data used to train or build algorithms are representative of the population?
We are looking at a classification problem where a restaurant owner is trying to predict a discrete output variable with three different possible categories given some input variables. The categories are1: to buy the lunch special with dessert2: to buy the lunch special without dessert3: to not buy the lunch special.After collecting some data on a sample of customers in the previous month, you run a classification tree to predict the output variable that interests the restaurant owner. The classification tree had three terminal nodes with one node where all the customers bought the lunch special with dessert, another node where all the customers bought the lunch special without dessert and a third node that was a little bit more intricate to use. That node had 250 customers in total. Of those 250 customers, 44 bought the lunch special with dessert and 77 did not buy that lunch special. What is the Gini index measure of impurity of that node?

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