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A Company Maintains Three Offices in a Certain Region, Each

question 16

Essay

A company maintains three offices in a certain region, each staffed by two employees. Information concerning yearly salaries (1000's of dollars) is as follows: 112233 Office  Employee 123456 Salary 19.723.620.223.615.819.7\begin{array} { l c c c c c c } \hline & 1 & 1 & 2 & 2 & 3 & 3 \\\text { Office }\\\hline \text { Employee } & 1 & 2 & 3 & 4 & 5 & 6 \\\text { Salary } & 19.7 & 23.6 & 20.2 & 23.6 & 15.8 & 19.7 \\\hline\end{array}
a. Suppose two of these employees are randomly selected from among the six (without replacement). Determine the sampling distribution of the sample mean salary Xˉ\bar { X }
b. Suppose one of the three offices is randomly selected. Let X1 and X2X _ { 1 } \text { and } X _ { 2 }
denote the salaries of the two employees. Determine the sampling distribution of Xˉ\bar { X }
c. How does E(Xˉ)E ( \bar { X } )
from parts (a) and (b) compare to the population mean salary μ?\mu ?

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Definitions:

Constant Over Time

A situation or condition that remains unchanged throughout different periods.

Single Case

An in-depth study or analysis of a single instance, event, or subject as a method of research.

Cultural-Familial Retardation

A concept referring to intellectual disability that may result from environmental factors and may not have a clear genetic or biological cause.

Organic Retardation

Organic retardation refers to cognitive impairments resulting from physical damage to the brain or disruption in its development.

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