A Sample of 30 Observations Is Drawn from a Normal $\bar { X }$

question 18

Essay

A sample of 30 observations is drawn from a normal population with mean of 750 and a standard deviation of 300. Suppose the population size is 600.
a. Find the expected value of the sample mean $\bar { X }$ .
b. Find the standard error of the sample mean $\bar { X }$ .
c. Find P( $\bar { X }$ > 790).
d. Find P( $\bar { X }$ < 650).
e. Find P(760 < $\bar { X }$ < 810).

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Definitions:

Production Efficiencies

The optimization of resources and processes to maximize output while minimizing waste and costs in manufacturing.

Production Systems

The combination of human resources, equipment, and procedures used to produce goods or services, often characterized by a specific volume and quality output.

Quality Problem

Issues related to the inability of a product or service to meet specified standards or customer expectations.