The Variable in a Normal Distribution Can Assume Any Value

question 107

Multiple Choice

The variable in a normal distribution can assume any value between

• A)-3 and +3.
• B)-4 and +4.
• C)-1 and +1.
• D)-∞ and +∞.

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Definitions:

T-statistic

A statistic used in hypothesis testing, computed as the difference between the sample mean and the hypothesized population mean, divided by the standard error of the mean.

Z-score

A statistical measurement that describes a value's relationship to the mean of a group of values, measured in terms of standard deviations from the mean.

Variability

The extent to which data points in a statistical distribution or data set diverge from the average or mean value.

Sampling Distribution

The probability distribution of a given statistic based on a random sample, central to inferential statistics as it provides a basis for hypothesis testing.