Probability and Statistics for Engineering and the Sciences
9th Edition
ISBN: 9781305251809
Author: Jay L. Devore
Publisher: Cengage Learning
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Chapter 11.2, Problem 19E
A two-way ANOVA was carried out to assess the impact of type of farm (government agricultural settlement, established, individual) and tractor maintenance method(preventive, predictive, running, corrective, overhauling, breakdown) on the response variable maintenance practice contribution. There were two observations for each combination of factor levels. The resulting sums of squares were SSA = 35.75 (A 5 type of farm), SSB = 861.20, SSAB = 603.51, and SSE = 341.82 (“Appraisal of Farm Practice Maintenance and Costs in Nigeria,” J. of Quality in Maintenance Engr., 2005: 152–168). Assuming both factor effects to be fixed, construct an ANOVA table, test for the presence of interaction, and then test for the presence of main effects for each factor (all using level .01).
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Absenteeism: Absenteeism can be a serious employment problem. It is estimated that absenteeism reduces potential output by more than 10%. Two economists launched a research project to learn more about the problem. They randomly selected 100 organizations to participate in a 1-year study. For each organization, they recorded the average number of days absent per employee and several variables thought to affect absenteeism. Management’s goal here is to analyze the data and determine which factors may be helpful in predicting absenteeism.
Now let us build a model to predict absenteeism based on key independent variables available in this dataset; wage, PctPT, PctU, Av Shift and U/MRel. Correlation matrix is provided below.
Why are the variables AvShift and U/MRel excluded from this correlation matrix?
Which variable in the matrix is likely to provide the best simple linear regression model and why?
Does the correlation matrix show any evidence of collinearity? Explain.
Data:…
Absenteeism: Absenteeism can be a serious employment problem. It is estimated that absenteeism reduces potential output by more than 10%. Two economists launched a research project to learn more about the problem. They randomly selected 100 organizations to participate in a 1-year study. For each organization, they recorded the average number of days absent per employee and several variables thought to affect absenteeism. Management’s goal here is to analyze the data and determine which factors may be helpful in predicting absenteeism.
Now let us build a model to predict absenteeism based on key independent variables available in this dataset; wage, PctPT, PctU, Av Shift and U/MRel
The following down below is the correlation matrix between absenteeism and potential independent variables.
Why are the variables AvShift and U/MRel excluded from this correlation matrix?
Which variable in the matrix is likely to provide the best simple linear regression model and why?
Does the…
Chapter 11 Solutions
Probability and Statistics for Engineering and the Sciences
Ch. 11.1 - An experiment was carried out to investigate the...Ch. 11.1 - Four different coatings are being considered for...Ch. 11.1 - Prob. 3ECh. 11.1 - In an experiment to see whether the amount of...Ch. 11.1 - In an experiment to assess the effect of the angle...Ch. 11.1 - A particular county employs three assessors who...Ch. 11.1 - Prob. 7ECh. 11.1 - The paper Exercise Thermoregulation and...Ch. 11.1 - The article The Effects of a Pneumatic Stool and a...Ch. 11.1 - Prob. 10E
Ch. 11.1 - Prob. 11ECh. 11.1 - Prob. 12ECh. 11.1 - Prob. 13ECh. 11.1 - Prob. 14ECh. 11.1 - The power curves of Figures 10.5 and 10.6 can be...Ch. 11.2 - In an experiment to assess the effects of curing...Ch. 11.2 - Prob. 17ECh. 11.2 - The accompanying data resulted from an experiment...Ch. 11.2 - A two-way ANOVA was carried out to assess the...Ch. 11.2 - The article Fatigue Limits of Enamel Bonds with...Ch. 11.2 - In an experiment to investigate the effect of...Ch. 11.2 - Prob. 22ECh. 11.2 - Prob. 23ECh. 11.2 - Prob. 24ECh. 11.2 - Prob. 25ECh. 11.2 - Prob. 26ECh. 11.3 - The output of a continuous extruding machine that...Ch. 11.3 - Prob. 28ECh. 11.3 - Prob. 29ECh. 11.3 - Prob. 30ECh. 11.3 - Nickel titanium (NiTi) shape memory alloy (SMA)...Ch. 11.3 - Prob. 32ECh. 11.3 - Prob. 33ECh. 11.3 - The article The Responsiveness of Food Sales to...Ch. 11.3 - Prob. 35ECh. 11.3 - Prob. 36ECh. 11.3 - Prob. 37ECh. 11.4 - The accompanying data resulted from an experiment...Ch. 11.4 - The accompanying data resulted from a 23...Ch. 11.4 - In a study of processes used to remove impurities...Ch. 11.4 - Prob. 41ECh. 11.4 - Prob. 42ECh. 11.4 - Prob. 43ECh. 11.4 - a. In a 24 experiment, suppose two blocks are to...Ch. 11.4 - a. An experiment was carried out to investigate...Ch. 11.4 - Prob. 46ECh. 11.4 - a. In a seven-factor experiment (A,, G), suppose a...Ch. 11.4 - The article Applying Design of Experiments to...Ch. 11 - The results of a study on the effectiveness of...Ch. 11 - Prob. 51SECh. 11 - Prob. 52SECh. 11 - In an automated chemical coating process, the...Ch. 11 - Coal-fired power plants used in the electrical...Ch. 11 - Impurities in the form of iron oxides lower the...Ch. 11 - Factorial designs have been used in forestry to...Ch. 11 - Prob. 57SECh. 11 - Prob. 58SECh. 11 - The bond strength when mounting an integrated...Ch. 11 - Prob. 60SECh. 11 - Prob. 61SE
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- In an estimated model, if the Announced Sum of Squares (AKT) and Residual Sum of Squares (SSC) are 70 and 140, respectively, what is the “significance coefficient” of the model as a percentage?arrow_forwardAbsenteeism: Absenteeism can be a serious employment problem. It is estimated that absenteeism reduces potential output by more than 10%. Two economists launched a research project to learn more about the problem. They randomly selected 100 organizations to participate in a 1-year study. For each organization, they recorded the average number of days absent per employee and several variables thought to affect absenteeism. Management’s goal here is to analyze the data and determine which factors may be helpful in predicting absenteeism. Perform a two-sample t-test analysis to determine if mean absenteeism is different between organizations which have a good Union management and those that do not. I have provided the F-test for two variances below: Copy and paste the Two sample t-test output below AND provide a clear conclusion supported by key statistics in the output about how absenteeism is affected by the Union Management Relationship. (I just need to know how to perform the two…arrow_forwardA survey was conducted to determine whether age affects the level of development-orientedness of mayors in the Philippines classified as high, average, and low. A sample of one hundred mayors was taken and the results are shown below. Level Not Very Effective Effective Age Effective Young 30 20 5 Old 13 26 Can we say that age affects the level of orientedness of the mayors in the Philippines? Use a 5% level of significance.arrow_forward
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