The Sample Average Is a Random Variable and A $Y _ { 1 } , \ldots , Y _ { n }$

question 22

Short Answer

The sample average is a random variable and a. is a single number and as a result cannot have a distribution.
b. has a probability distribution called its sampling distribution.
c. has a probability distribution called the standard normal distribution.
d. has a probability distribution that is the same as for the $Y _ { 1 } , \ldots , Y _ { n }$ i.i.d. variables.

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Definitions:

Perceptions of Stress

How an individual views or interprets stress, which can significantly affect their psychological and physical response to it.

Upward-Sloping Line

A graphical representation indicating a positive relationship between two variables, such that as one variable increases, so does the other.

Positive Correlation

A relationship between two variables where they both increase or decrease together.

Causal Relationship

A connection between two variables where a change in one directly results in a change in the other.