A Manager Records the Production Output of Three Employees Who

question 60

Essay

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. $$\begin{array}{l}\begin{array} { r r c c c } &&& { \text { Employee } } \\& & \text { A } & \text { B } & \text { C } \\& \text { I } & 31,34,32 & 29,23,22 & 21,20,24 \\\text { Machine } & \text { II } & 19,26,22 & 35,33,30 & 25,19,23 \\& \text { III } & 21,18,26 & 20,23,24 & 36,37,31\end{array}\\\\\text { ANALYSIS OF VARIANCE ITEMS }\\\begin{array} { l r r r } \text { SOURCE } & \text { DF } & { \text { SS } } & \text { MS } \\\text { MACHINE } & 2 & 1.19 & .59 \\\text { EMPLOYEE } & 2 & 5.85 & 2.93 \\\text { INTERACTION } & 4 & 710.81 & 177.70 \\\text { ERROR } & 18 & 160.00 & 8.89 \\\text { TOTAL } & 26 & 877.85 &\end{array}\end{array}$$ 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.

---

Definitions:

Model Minority Stereotype

A stereotype that characterizes a particular minority group as being more successful or well-behaved than other minority groups, often simplifying complex realities.

Racist Comments

Statements or remarks that demean or express prejudice against people based on their race or ethnicity.

Race Traitor Approach

A radical perspective promoting the rejection of one's racial privileges to fight racism and support racial justice, often associated with white allies in antiracist movements.

Color-Blind Racism

A form of racism that ignores racial discrimination and advocates the treatment of all individuals irrespective of their race, often maintaining racial inequality.