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Test Hypotheses About a Population Mean with Known Using P-Values α=0.05\alpha = 0.05

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Test Hypotheses about a Population Mean with Known Using P-values
-A local company claims that the number of days missed by its employees due to illness is below the national average of 5 . A random sample of 40 employees provided the data below. At α=0.05\alpha = 0.05 , test the company's claim using P\mathrm { P } -values.
0363354135731233241625283125411121575493\begin{array} { c c c c c c c c c c } 0 & 3 & 6 & 3 & 3 & 5 & 4 & 1 & 3 & 5 \\ 7 & 3 & 1 & 2 & 3 & 3 & 2 & 4 & 1 & 6 \\ 2 & 5 & 2 & 8 & 3 & 1 & 2 & 5 & 4 & 1 \\ 1 & 1 & 2 & 1 & 5 & 7 & 5 & 4 & 9 & 3 \end{array}


Definitions:

Directing Behaviors

Actions by a leader that provide guidance and instruction to subordinates, often associated with task accomplishment.

Opportunism

The practice of taking advantage of situations with little regard for principles or consequences, often to gain personal benefits.

Middle-Of-The-Road Management

A management style that compromises between task-oriented and employee-oriented leadership, striving to balance concern for productivity and worker satisfaction.

Maternalism

Refers to attitudes or actions that are protective and nurturing, often in a way that asserts authority or control.

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