When $\bar { X }$ Is the Mean of a Random Sample of Size N

question 37

Short Answer

When $\bar { X }$ is the mean of a random sample of size n (n is large) from a normal population with mean $\mu$ , the random variable $Z = ( \bar { X } - \mu ) / ( S / \sqrt { n } )$ has approximately a __________ distribution with mean value of __________ and standard deviation of __________.

---

Definitions:

Assertive Communication

The practice of expressing one's views and wishes directly and respectfully, without being passively accepting or aggressively confrontational.

Lack of Participation

The absence or insufficient level of engagement or involvement in a particular activity or setting.

Preparation

The process of making ready or being made ready for use or consideration, involving planning and arrangement of resources or activities.

Verbal Communication

The conveyance of information or feelings through spoken words, encompassing elements like language, tone, and inflection for effective interaction.