Use the Minitab Display to Test the Indicated Claim Using a 005 Significance Level, Test the Claim That the Interaction Between

question 133

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. $$\begin{array}{l}\begin{array} { c c c c c } & { \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\\text { Machine } & \text { I } & 31,34,32 & 29,23,22 & 21,20,24 \\& \text { II } & 19,26,22 & 35,33,30 & 25,19,23 \\& \text { III } & 21,18,26 & 20,23,24 & 36,37,31\end{array}\\\\\text { ANALYSIS OF VARIANCE ITEMS }\\\\\begin{array} { l r r r } \text { SOURCE } & \text { DF } & \text { SS } & \text { MS } \\\text { MACHINE } & 2 & 1.19 & .59 \\\text { EMPLOYEE } & 2 & 5.85 & 2.93 \\\text { INTERACTION } & 4 & 710.81 & 177.70 \\\text { ERROR } & 18 & 160.00 & 8.89 \\\text { TOTAL } & 26 & 877.85 &\end{array}\end{array}$$ Using a 0.05 significance level, test the claim that the interaction between employee and
machine has no effect on the number of items produced.

---

Definitions:

Right-Hand Gears

Gears configured for systems where the drive or operation is predominantly on the right side, used to alter the direction or speed of mechanical energy.

Teeth Rotating

The action or process of gear teeth moving in relation to one another to transmit power from one shaft to another.

Driven Gear

A Driven Gear is a gear that receives power or motion from a driving gear or input source, engaging in the transmission of power within a mechanical system to perform work.

RPM

Stands for Revolutions Per Minute, a measurement of the speed of rotation of a mechanical component.