The Ahmadi Corporation Wants to Increase the Productivity of Its

question 181

Essay

The Ahmadi Corporation wants to increase the productivity of its line workers. Four different programs have been suggested to help increase productivity. Twenty employees, making up a sample, have been randomly assigned to one of the four programs and their output for a day's work has been recorded. You are given the results below.
$$\begin{array} { c c c c } \text { Propram A } & \text { Propram B } & \text { Propram C } & \text { Propram D } \\150 & 150 & 185 & 175 \\130 & 120 & 220 & 150 \\120 & 135 & 190 & 120 \\180 & 160 & 180 & 130 \\145 & 110 & 175 & 175\end{array}$$
a. State the null and alternative hypotheses.
b. Construct an ANOVA table.
c. As the statistical consultant to Ahmadi, what would you advise them? Use a .05 level of significance. Use both the critical and p-value approaches.

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Definitions:

Symbolic Form

The representation of ideas, objects, or processes through symbols or a symbolic language, often used in mathematics, logic, and philosophy.

Truth Table

A table that shows all possible truth values of a logical expression based on the truth values of its components.

Component Statements

The individual statements that make up a complex statement or argument.

Connective(s)

Logical operators used in propositions to combine sentences or clauses, affecting the truth values of the statements they join.