Applied Statistics in Business and Economics
5th Edition
ISBN: 9780077837303
Author: David Doane, Lori Seward Senior Instructor of Operations Management
Publisher: McGraw-Hill Education
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Chapter 11, Problem 38CE
Instructions: You may use Excel, MegaStat, Minitab, JMP, or another computer package of your choice. Attach appropriate copies of the output or capture the screens, tables, and relevant graphs and include them in a written report. Try to state your conclusions succinctly in language that would be clear to a decision maker who is a nonstatistician. Exercises marked * are based on optional material. Answer the following questions, or those your instructor assigns.
- a. Choose an appropriate ANOVA model. State the hypotheses to be tested.
- b. Display the data visually (e.g., dot plots or line plots by factor). What do the displays show?
- c. Do the ANOVA calculations using the computer.
- d. State the decision rule for α = .05 and make the decision. Interpret the p-value.
- e. In your judgment, are the observed differences in treatment means (if any) large enough to be of practical importance?
- f. Given the nature of the data, would more data collection be practical?
- g. Perform Tukey multiple comparison tests and discuss the results.
- h. Perform a test for homogeneity of variances. Explain fully.
The Environmental Protection Agency (EPA) advocates a maximum arsenic level in water of 10 micrograms per liter. Below are results of EPA tests on randomly chosen wells in a suburban Michigan county. Research question: Is the mean arsenic level affected by well depth and/or age of well?
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A common way for two people to settle a frivolous dispute is to play a game of rock-paper-scissors. In this game, each person simultaneously displays a hand signal to indicate a rock, a piece of paper, or a pair of scissors. Rock beats scissors, scissors beats paper, and paper beats rock. If both players select the same hand signal, the game results in a tie.
Two roommates, roommate A and roommate B, are expecting company and are arguing over who should have to wash the dishes before the company arrives. Roommate A suggests a game of rock-paper-scissors to settle the dispute.
Consider the game of rock-paper-scissors to be an experiment. In the long run, roommate A chooses rock 21% of the time, and roommate B chooses rock 61% of the time; roommate A selects paper 39% of the time, and roommate B selects paper 21% of the time; roommate A chooses scissors 40% of the time, and roommate B chooses scissors 18% of the time. (These choices are made randomly and independently of each…
Chapter 11 Solutions
Applied Statistics in Business and Economics
Ch. 11.2 - Using the following Excel results: (a) What was...Ch. 11.2 - Using the following Excel results: (a) What was...Ch. 11.2 - In a one-factor ANOVA with sample sizes n1 = 5, n2...Ch. 11.2 - In a one-factor ANOVA with sample sizes n1 = 8, n2...Ch. 11.2 - Instructions for Exercises 11.5 through 11.8: For...Ch. 11.2 - Instructions for Exercises 11.5 through 11.8: For...Ch. 11.2 - Instructions for Exercises 11.5 through 11.8: For...Ch. 11.2 - Prob. 8SECh. 11.3 - Consider a one-factor ANOVA with n1 = 9, n2 = 10,...Ch. 11.3 - Consider a one-factor ANOVA with n1 = 6, n2 = 5,...
Ch. 11.3 - Instructions for Exercises 11.11 through 11.14:...Ch. 11.3 - Prob. 12SECh. 11.3 - Prob. 13SECh. 11.3 - Prob. 14SECh. 11.4 - In a one-factor ANOVA with n1 = 6, n2 = 4, and n3...Ch. 11.4 - Prob. 16SECh. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.4 - Instructions for Exercises 11.17 through 11.20:...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.5 - Instructions: For each data set: (a) State the...Ch. 11.6 - Instructions: For each data set: (a) State the...Ch. 11.6 - Instructions: For each data set: (a) State the...Ch. 11.6 - Prob. 27SECh. 11.6 - Prob. 28SECh. 11 - Explain each term: (a) explained variation; (b)...Ch. 11 - (a) Explain the difference between one-factor and...Ch. 11 - (a) State three assumptions of ANOVA. (b) What do...Ch. 11 - (a) Sketch the format of a one-factor ANOVA data...Ch. 11 - (a) Sketch the format of a two-factor ANOVA data...Ch. 11 - (a) Sketch the format of a two-factor ANOVA data...Ch. 11 - Prob. 7CRCh. 11 - (a) What does a test for homogeneity of variances...Ch. 11 - What is the general linear model and why is it...Ch. 11 - (a) What is a 2k design, and what are its...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - Instructions: You may use Excel, MegaStat,...Ch. 11 - In a market research study, members of a consumer...Ch. 11 - Prob. 47CECh. 11 - (a) What kind of ANOVA is this (one-factor,...Ch. 11 - Here is an Excel ANOVA table for an experiment to...Ch. 11 - Several friends go bowling several times per...Ch. 11 - Air pollution (micrograms of particulate per ml of...Ch. 11 - A company has several suppliers of office...Ch. 11 - Several friends go bowling several times per...Ch. 11 - Are large companies more profitable per dollar of...
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