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Use the Minitab Display to Test the Indicated Claim \quad

question 55

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.  Employee ABC I 31,34,3229,23,2221,20,24 Machine  II 19,26,2235,33,3025,19,23 III 21,18,2620,23,2436,37,31\begin{array}{cccc}&&&\text { Employee }\\&&\mathbf{A}&\mathbf{B}&\mathbf{C}\\&\text { I } & 31,34,32 & 29,23,22 & 21,20,24 \\\text { Machine } &\text { II } & 19,26,22 & 35,33,30 & 25,19,23 \\&\text { III } & 21,18,26 & 20,23,24 & 36,37,31\end{array}

\quad \quad  ANALYSIS OF VARIANCE ITEMS \text { ANALYSIS OF VARIANCE ITEMS }

 SOURCE  DF  SS  MS  MACHINE 21.19.59 EMPLOYEE 25.852.93 INTERACTION 4710.81177.70 ERROR 18160.008.89 TOTAL 26877.85\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} 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:

Internal Controls

Strategies and protocols a corporation uses to safeguard the reliability of their financial and accounting data, encourage responsibility, and avert theft.

Financial Information

Data relating to the financial performance, position, and cash flows of a business, used by stakeholders to make informed decisions.

Misstatement

An error or inaccuracy in financial records or statements, often resulting due to oversight or misunderstanding.

Cash Management

The process of collecting, managing, and investing a company's cash in a way that optimizes its liquidity, investment return, and risk levels.

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