Chapter 9: 1E (page 528)
What are the treatments for a designed experiment that uses one qualitative factor with four levels—A, B, C, and D?
There are four treatments A, B, C, and D.
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Evaluation of flexography printing plates. Refer to the Journal of Graphic Engineering and Design (Vol. 3, 2012) study of the quality of flexography printing, Exercise 9.24 (p. 544). Recall that four different exposure times were studied—8, 10, 12, and 14 minutes—and that the measure of print quality used was dot area (hundreds of dots per square millimeter). Tukey’s multiple comparisons procedure (at an experimentwise error rate of .05) was used to rank the mean dot areas of the four exposure times. The results are summarized below. Which exposure time yields the highest mean dot area? Lowest?
Study of mutual fund performance. Mutual funds are classified as large-cap funds, medium-cap funds, or small-cap funds, depending on the capitalization of the companies in the fund. Hawaii Pacific University researchers investigated whether the average performance of a mutual fund is related to capitalization size (American Business Review, January 2002). Independent random samples of 30 mutual funds were selected from each of the three fund groups, and the 90-day rate of return was determined for each fund. The data for the 90 funds were subjected to an analysis of variance, with the results shown in the ANOVA summary table below.
a. State the null and alternative hypotheses for the ANOVA.
Use Tables V, VI, VII, and VIII in Appendix D to find each
of the following F-values:
a. F0.05,v1=4,v2=4
b. F0.01,v1=4,v2=4
c. F0.10,v1=30,v2=40
d. F0.025,v1=15,v2=12
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.
Identify whether the following levels of factors are qualitative or quantitative.
a. Method of payment (cash, check, and credit card)
b. Hotel service rating (1 for Fair, 2 for Average, 3 for Good, and 4 for Excellent)
c. Percentage return on investment (1%, 5.5%, and 8.3%)
d. Time taken to complete a car race (22 minutes, 25 minutes, and 29 minutes)
e. Number printed on the back of a football jersey (1, 2, 3, etc.)
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