Use the Minitab Display to Test the Indicated Claim

question 64

Essay

Use the Minitab display to test the indicated claim. A manager records the production output of_
three employees who each work on three different machines for three different days. The
sample results are given below and the Minitab results follow. $\begin{array}{crccc} &&& {\text { Employee }} \\& & \text { A } & \text { B } & \text { C } \\\text { Machine } & \text { I } & 31,34,32 & 29,23,22 & 21,20,24 \\& \text { II } & 19,26,22 & 35,33,30 & 25,19,23 \\& \text { III } & 21,18,26 & 20,23,24 & 36,37,31\end{array}$

$\begin{array}{l}\text { ANALYSIS OF VARIANCE ITEMS }\\\begin{array}{lrrr}\text { SOURCE } & \text { DF } & \text { SS } & \text { MS } \\\text { MACHINE } & 2 & 1.19 & .59 \\\text { EMPLOYEE } & 2 & 5.85 & 2.93 \\\text { INTERACTION } & 4 & 710.81 & 177.70 \\\text { ERROR } & 18 & 160.00 & 8.89 \\\text { TOTAL } & 26 & 877.85 &\end{array}\end{array}$ Assume that the number of items produced is not affected by an interaction between
employee and machine. Using a 0.05 significance level, test the claim that the choice of
employee has no effect on the number of items produced.