A Sample of 50 Observations Is Drawn at Random from a Normal

question 64

Essay

A sample of 50 observations is drawn at random from a normal population whose mean and standard deviation are 75 and 6, respectively.
a. What does the central limit theorem say about the sampling distribution of the sample mean? Why?
b. Find the mean and standard error of the sampling distribution of the sample mean.
c. Find P( $\bar { X }$ > 73).
d. Find P( $\bar { X }$ < 74).

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Definitions:

Quality Tools

Instruments and techniques used to understand, control, and improve the quality of processes and products.

Marginal Product

The additional output that is produced by employing one more unit of a particular resource.

Average Product

The output produced per unit of input, calculated by dividing total production by the total number of inputs.

Marginal Product

The additional output that results from the use of one more unit of a production input, holding all other inputs constant.