Use the Minitab Display to Test the Indicated Claim ANALYSIS OF VARIANCE ITEMS

question 21

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
$\begin{array} { r r r r r } & \text { I } & 23,27,29 & 30,27,25 & 18,20,22 \\ \text { Machine } \quad \text { II } & 25,26,24 & 24,29,26 & 19,16,14 \\ & \text { III } & 28,25,26 & 25,27,23 & 15,11,17 \end{array}$


ANALYSIS OF VARIANCE ITEMS

$\begin{array} { l r r r } \text { SOURCE } & \text { DF } & \text { SS } & \text { MS } \\ \text { MACHINE } & 2 & 34.67 & 17.33 \\ \text { EMPLOYEE } & 2 & 504.67 & 252.33 \\ \text { INTERACTION } & 4 & 26.67 & 6.67 \\ \text { ERROR } & 18 & 98.00 & 5.44 \\ \text { TOTAL } & 26 & 664.00 & \end{array}$ 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 machine has no effect on the number of items produced.

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Definitions:

Lifecycle

Describes the stages through which a product, service, or entity passes, typically encompassing introduction, growth, maturity, and decline.

Time to Break-Even

The period it takes for a business or investment to recover its initial costs and start generating profit.

Business Analysis

The practice of identifying business needs and determining solutions to business problems, often involving the analysis of data and processes.

Services Classification

The categorization of services based on characteristics such as tangibility, the relationship with the customer, and the method of delivery.