Suppose in Problem 1 the engineer suspects that the workplaces used by the four
ID: 2928116 • Letter: S
Question
Suppose in Problem 1 the engineer suspects that the workplaces used by the four oper ators may represent an additional source of variation. A fourth factor, workplace (a and ) needs to be considered and another experiment is conducted. The layout of the experiment and the data a are given in the following. Operator Order of Assembv (a) What design is employed in this experiment? why? (b) Test if the four assembly methods are different.(use a= 5%) (c) Is your conclusion consistent with that from Problem 3? If your answer is no, what are the possible causes for the inconsistency?Explanation / Answer
a) One way ANOVA design will be employed in this analysis.
Pre-requisite for ANOVA
i) Dependent variable - continuous in nature (Workplace)
ii) Independent variable - categorical in nature (Assembly methods 4 in number).
b) Testing Four assembly methods
Null Hypothesis Ho : Mu1 = Mu2 = Mu3 = Mu4 (Mean of all assembly methods are same)
Alternate Hypothesis Ha : Mu1 not equal to Mu2 not equal to Mu3 not equal to Mu4.
From the above results, since the p-value is > Alpha, null hypothesis cannot be rejected and hence
Mean of all the operating methods is equal or All the assembly methods are not different.
c) Additional information is required to cross-verify this against Problem 3