Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 39 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 13 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 13,360; SSTR = 4,530. (a) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source of Variation Sum Degrees of Freedom Мean F p-value of Squares Square Treatments 2 Error Total (b) Use a = 0.05 to test for any significant difference in the means for the three assembly methods. State the null and alternative hypotheses. O H: H, = H2 = H3 H: Not all the population means are equal. O Hg: H, + H2 * H3 H: H1 = H2 = H3 O Ho: H1 = H2 = H3 H: Hq * Hz * H3 O Ho: Not all the population means are equal. H: H1 = H2 = H3 O Ho: At least two of the population means are equal. H: At least two of the population means are different.

Three different methods for assembling a product were proposed by an industrial engineer. To investigate the number of units assembled correctly with each method, 39 employees were randomly selected and randomly assigned to the three proposed methods in such a way that each method was used by 13 workers. The number of units assembled correctly was recorded, and the analysis of variance procedure was applied to the resulting data set. The following results were obtained: SST = 13,360; SSTR = 4,530. (a) Set up the ANOVA table for this problem. (Round your values for MSE and F to two decimal places, and your p-value to four decimal places.) Source of Variation Sum Degrees of Freedom Мean F p-value of Squares Square Treatments 2 Error Total (b) Use a = 0.05 to test for any significant difference in the means for the three assembly methods. State the null and alternative hypotheses. O H: H, = H2 = H3 H: Not all the population means are equal. O Hg: H, + H2 * H3 H: H1 = H2 = H3 O Ho: H1 = H2 = H3 H: Hq * Hz * H3 O Ho: Not all the population means are equal. H: H1 = H2 = H3 O Ho: At least two of the population means are equal. H: At least two of the population means are different.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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