Exam 12: Hypothesis Testing With More Than Two Means: One-Way Analysis of Variance

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An organization's scientist wants to know whether mean output per hour differs between workers of 10 large tech companies. He gathers randomly sampled data from workers in each firm. What is the appropriate statistical test for him to use?

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Which of these conclusions emerges if a researcher rejects the null hypothesis in a test using analysis of variance?

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A researcher conducts an ANOVA test and calculates SSW = 840 and SSB = 312. How is the description of the strength of the association for these data best qualified?

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Which of the following would be an appropriate scenario for using the ANOVA procedure?

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Which of the following is equal to the F ratio?

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A researcher wishes to use ANOVA to assess whether Vancouver men and women differ in whether they voted in the city's most recent municipal selection. He gathers large, equally sized EPSEM samples for each gender to conduct the analysis. What is the clearest problem with his intent to use ANOVA?

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A study tracking school violence shows that rural schools had an average of 4 documented violent episodes in the past school year, suburban schools had an average of 17 such episodes, and urban schools averaged 23 violent episodes. If in an ANOVA test the F (observed) statistic exceeded the F (critical) value, which of the following would we conclude about the relationship of regional context to school violence?

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What is the research hypothesis for the ANOVA test?

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In what sense does eta-squared tell us the "effect size" of an association?

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One of the challenges of the ANOVA procedure is that we do not know which pairs of sample means are significantly different from one another. Briefly explain how researchers can assess differences between particular sample means.

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