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Chapter 9: Q43E (page 553)

Performance of a bus depot. Refer to the International Journal of Engineering Science and Technology (February 2011) study of public bus depot performance, Exercise 9.25 (p. 544). Recall that 150 customers provided overall performance ratings at each of three different bus depots (Depot 1, Depot 2, and Depot 3). The average performance scores were determined to be significantly different at α=.05 using an ANOVA F-test. The sample mean performance scores were reported as . The researchers employed the Bonferroni method to rank the three performance means using an experiment wise error rate of .05. Adjusted 95% confidence intervals for the differences between each pair of treatment means are shown in the table. Use this information to rank the mean performance scores at the three bus depots.

Short Answer

Expert verified

The rank is given by

Step by step solution

01

Given Information

The sample size is 150.

There are three treatments.

The level of significance is 0.05.

The 95% confidence interval for the difference between each pair of treatments means are given.

02

Bonferroni method

Bonferroni method does not require equal sample size. The Bonferroni method can be applied when pairwise comparisons are of interest. The formulas for constructing confidence intervals for difference between treatment means are given below

03

Ranking the mean performance

The means for treatment x1 is 67.17.

The means for treatment x2 is 58.69.

The means for treatment x3 is 44.49.

Therefore, the rank is given by

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Most popular questions from this chapter

Identifying the type of experiment. Brief descriptions of a number of experiments are given next. Determine whether each is observational or designed and explain your reasoning.

a. An economist obtains the unemployment rate and gross state product for a sample of states over the past 10 years, with the objective of examining the relationship between the unemployment rate and the gross state product by census region.

b. A manager in a paper production facility installs one of three incentive programs in each of nine plants to determine the effect of each program on productivity.

c. A marketer of personal computers runs ads in each of four national publications for one quarter and keeps track of the number of sales that are attributable to each publication’s ad.

d. An electric utility engages a consultant to monitor the discharge from its smokestack on a monthly basis over a 1-year period to relate the level of sulfur dioxide in the discharge to the load on the facility’s generators.

e. Intrastate trucking rates are compared before and after governmental deregulation of prices changed, with the comparison also taking into account distance of haul, goods hauled, and the price of diesel fuel.

Forecasting electrical consumption. Two different methods of forecasting monthly electrical consumption were compared and the results published in Applied Mathematics and Computation (Vol. 186, 2007). The two methods were Artificial Neural Networks (ANN) and Time Series Regression (TSR). Forecasts were made using each method for each of 4 months. These forecasts were also compared with the actual monthly consumption values. A layout of the design is shown in the next table. The researchers want to compare the mean electrical consumption values of the ANN forecast, TSR forecast, and Actual consumption

a. Identify the experimental design employed in the study.

Value perceptions of consumers (cont’d). Refer to Exercise 9.10. In addition to the factor, Type of advertisement

(within-store price promotion and between-store price promotion), the researchers also investigated the impact of a second factor—Location where ad is read (at home or in the store). About half of the consumers who

were assigned to the within-store price promotion read the ad at home, and the other half read the ad in the store. Similarly, about half of the consumers who were assigned to the between-store price promotion read the ad at home, and the other half read the ad in the store. In this second

experiment, the goal was to compare the average discount values of the groups of consumers created by combining Type of advertisement with Location.

a. How many treatments are involved in this experiment?

b. Identify the treatments.

Corporate sustainability and firm characteristics. Refer to the Business and Society (March 2011) study on how firm size and firm type impact corporate sustainability behaviors, Exercise 1.28 (p. 51). Certified Public Accountants (CPAs) were surveyed on their firms’ likelihood of reporting sustainability policies (measured as a probability between 0 and 1). The CPAs were divided into four groups depending on firm size (large or small) and firm type (public or private): large/public, large/private, small/ public, and small/private. One goal of the analysis was to determine whether the mean likelihood of reporting sustainability policies differs depending on firm size and firm type. Identify each of the following elements for this study:

a. Experimental units

b. Response variable

c. Factor(s)

d. Factor levels

e. Treatments

Define a comparison-wise error rate.

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