Use the Minitab Display to Test the Indicated Claim $\quad$

question 72

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. $\begin{array}{cccc}&&&\text { Employee }\\&&\mathbf{A}&\mathbf{B}&\mathbf{C}\\&\text { I } & 23,27,29 & 30,27,25 & 18,20,22 \\\text { Machine } &\text { II } & 25,26,24 & 24,29,26 & 19,16,14 \\&\text { III } & 28,25,26 & 25,27,23 & 15,11,17\end{array}$

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

$\begin{array}{lrrr}\text { SOURCE } & \text { DF } & {\text { SS }} &{\text { MS }} \\\text { MACHINE } & 2 & 34.67 & 17.33 \\\text { EMPLOYEE } & 2 & 504.67 & 252.33 \\\text { INTERACTION } & 4 & 26.67 & 6.67 \\\text { ERROR } & 18 & 98.00 & 5.44 \\\text { TOTAL } & 26 & 664.00 &\end{array}$ 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:

Stereotypically Feminine

Traits or behaviors traditionally associated with women in a given culture, often including empathy, nurturing, and sensitivity.

Sex Differences

The biologically based distinctions between males and females, often related to reproductive functions but also encompassing other physiological differences.

Gender Differences

The distinctions in characteristics and behaviors typically associated with being male or female, influenced by biological, social, and cultural factors.

Cisgender

A term describing individuals whose gender identity matches the sex they were assigned at birth.