MGMT405-Assignment 2-spr2012

# MGMT405-Assignment 2-spr2012 - MGMT 405 Six Sigma Quality...

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MGMT 405: Six Sigma Quality Management Team Assignment 2 Due: March 26, 2012 1. One bank teller (Teller 1) serves drive-in customers and two tellers serve walk-in customers. The time in minutes to serve a dozen customers each is shown below. We want to test to determine whether there is a significant difference in the mean service times for the three tellers. Customer Teller 1 Teller 2 Teller 3 1 2.8 2.9 3.1 2 2.6 3.9 3.2 3 2.6 2.6 3.5 4 2.9 3.1 3.3 5 2.9 3.9 3.5 6 2.8 2.6 2.8 7 2.3 3.3 2.8 8 2.4 3.0 3.1 9 2.0 3.5 2.8 10 2.5 3.1 3.4 11 2.4 3.2 2.9 12 2.0 2.4 2.8 (a) Construct the ANOVA table. (b) Is there a significant difference in the mean service times for the three tellers? Justify your answer. (use α =5%) (c) Let i μ be the mean service time of teller i, i = 1, 2, 3. What are your conclusions for testing 0 1 2 H :μ =μ and 0 2 3 H :μ =μ ? Justify your answers. Which teller is the best? Give reasons for your answer.

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M405: Assignment 2 Page 2 2. An important factor in selecting software for word-processing and database management systems is the time required to learn how to use the system. To evaluate three file management systems, a firm designed a test involving five word-processing operators. Since operator variability was believed to be a significant factor, each of the five operators was trained on each of the three file management systems. The data obtained follow. System Operator 1 2 3 4 5 A B C 16 19 14 13 18 16 17 13 12 17 24 22 19 18 22 (a) Construct the ANOVA table.
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