2 An industrial engineer is investigating the effect of four

2. An industrial engineer is investigating the effect of four assembly methods (A, B, C, D) on the assembly time for a colour television component. Four operators are selected the study. Furthermore, the engineer knows that each assembly method Produces such fatigue that the time required for the last assembly may be greater limn the time required for the first, regardless of the method. That is, a trend develops in the required assembly time. To account for this stance of variability. the engineer uses the Latin square design with the results shown below. (a) Obtain the ANOVA tab e using the computer. (b) Assess the null hypothesis of no differences among the solutions i. State the hypotheses. ii. Give the value of the test statistic. iii. Obtain the P value, giving the degrees of freedom. iv. State a conclusion in the context of the problem. (c) Plot the residuals versus the fitted values and comment. (d) Obtain simultaneous 95% confidence into-vats for the differences between the method means, using the Bonferroni correction. (e) Find estimates of the order effects and comment on whether these effects increase due to fatigue as the engineer suspected.

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