Hypotheses h μ 1 μ 2 μ 3 h a not all the means are

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Hypotheses H 0 : μ 1 = μ 2 = μ 3 H a : Not all the means are equal where: μ = mean # of hours worked per week by the managers at Plant 1 μ 2 = mean # of hours worked per week by the managers at Plant 2 8
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μ 3 = mean # of hours worked per week by the managers at Plant 3 ANOVA Table: Source of Sum of Degrees of Mean Variation Squares Freedom Square F Treatments Error Total 9
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10 Chapter 13: Practice Problem 1. Information regarding the ACT scores of samples of students in three different majors are given below. We want to test to determine whether there is a significant difference in the means of the three populations. Major Management Finance Accounting 28 22 29 26 23 27 25 24 26 27 22 28 21 24 25 19 26 26 27 27 28 17 29 20 17 28 20 23 24 28 28 29 Means 23 25 Variance s 18 9.33 a. State the appropriate null and alternative hypotheses. b. Compute the between-treatments estimate of population variance. c. Compute the within-treatments estimate of population variance. 10
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d. Find the value of the test statistic. e. What is the conclusion at 5% level of significance? f. What is the conclusion at 1% level of significance? g. Construct the ANOVA table. 11
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