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: $$\begin{array} { l c c c c c c } \hline & 1 & 1 & 2 & 2 & 3 & 3 \\\text { Office }\\\hline \text { Employee } & 1 & 2 & 3 & 4 & 5 & 6 \\\text { Salary } & 19.7 & 23.6 & 20.2 & 23.6 & 15.8 & 19.7 \\\hline\end{array}$$
a. Suppose two of these employees are randomly selected from among the six (without replacement). Determine the sampling distribution of the sample mean salary $\bar { X }$
b. Suppose one of the three offices is randomly selected. Let $X _ { 1 } \text { and } X _ { 2 }$
denote the salaries of the two employees. Determine the sampling distribution of $\bar { X }$
c. How does $E ( \bar { X } )$
from parts (a) and (b) compare to the population mean salary $\mu ?$

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Definitions:

Sullivan's Needs

Harry Stack Sullivan's theory emphasizing interpersonal relationships and the need for interaction to avoid feelings of loneliness and anxiety.

Skinner's Radical

Refers to B.F. Skinner's radical behaviorism, emphasizing the external behaviors of people and their responses to the environment over internal processes.

Preadolescence Stage

A developmental phase preceding adolescence, generally occurring between ages 10 and 12, characterized by physical, emotional, and social changes.

Feeding Experiences

The interactions and practices involved in providing nutrition to infants and young children, which can affect their physical and emotional development.