Question 3 The production manager at Programmable Products wants you to test whether there is a significant difference in the mean number of defective light sensors per 1000 sensors among the three production shifts. A sample of production records showed the following. Sample of Number of Defective Units per 1000 by Shift 6 a.m. - 2 p.m. 2 p.m. 10 p.m. Shift 110 p.m. - 6 a.m. Shift Shift 15 9 20 29 18 21 18 21 22 14 35 6 a) Use the one-way ANOVA to determine if there is any evidence of a significant difference in the mean number of defective light sensors among the three production shifts. Use 5% significance level. b) What are the assumptions necessary to perform the test above? c) Based on the result in part (a), is it necessary to conduct the Tukey- Kramer Procedure to determine which production shift(s) is different?

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