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

question 4

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:

Problem-Focused Coping

A strategy for managing stress by directly addressing the problem causing the distress.

External Locus

A belief that one's successes or failures result from external factors beyond one's control.

Work Schedule

A planned outline that specifies when tasks, jobs, or appointments are intended to be completed or attended to.

Emotion-Focused Coping

A coping strategy that involves managing one's emotional response to a problem rather than addressing the problem itself.