A Random Sample of 80 Observations Produced a Mean $\bar { x } = 35.4$

question 53

Essay

A random sample of 80 observations produced a mean $\bar { x } = 35.4$ and a standard deviation $s$ $= 3.1$ .
a. Find a $90 \%$ confidence interval for the population mean $\mu$ .
b. Find a $95 \%$ confidence interval for $\mu$ .
c. Find a $99 \%$ confidence interval for $\mu$ .
d. What happens to the width of a confidence interval as the value of the confidence coefficient is increased while the sample size is held fixed?

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Definitions:

Elton Mayo

A pioneering researcher in industrial and organizational psychology, known for conducting the Hawthorne Studies which highlighted the importance of social relations in the workplace.

Complex Needs

Situations or conditions that require multiple forms of support or intervention due to their intricate or compounded nature.

Hawthorne Studies

A series of studies conducted in the early 20th century focusing on how work conditions affect employee productivity and morale.

Informal Organization

The ever-changing set of relationships and interactions that are not formally put together; they form naturally in the workplace.