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DOE I-PracProb

# DOE I-PracProb - Design of Experiments I Practice Problems...

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Design of Experiments I: Practice Problems 1. Information regarding the ACT scores of samples of students in three different majors are given below. At 5% level of significance, 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 23 28 24 Means 25.9 23.67 SDs 2.7 2.6 3.9 a. State the appropriate null and alternative hypotheses. b. Is the statement “test to determine whether there is a significant difference in the means of the three populations” equivalent to the statement “test to determine whether specialization major has any effect on ACT scores”? 1

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c. Compute SSTR and MSTR. d. Compute SSE and MSE. e. Find the value of the test statistic. f. What is the conclusion? g. Construct the ANOVA table. 2
2. Accounting firm’s auditing example ( pages 18-19 of lecture note ) has the following data: Block Method 1 (1 – 4) 2 (5 – 9) 3 (10 – 15) 1 (Home) 68 76 75 2 (Local) 72 79 76 3 (National) 88 89 87 We want to test to determine whether training methods affect proficiency score of an auditor. a. State the appropriate null and alternative hypotheses.

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DOE I-PracProb - Design of Experiments I Practice Problems...

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