If a Variable Is Normally Distributed with a Hypothesized Mean

question 16

Multiple Choice

If a variable is normally distributed with a hypothesized mean (μ) of 26 and a standard deviation (σ) of 7, what is the z-score for a raw score (X) of 21?

• A) z = .71
• B) z = -.71
• C) z = .90
• D) z = 1.57

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Definitions:

Parameter

A numerical characteristic or measure that describes and summarizes a whole population.

Statistic

is a single measure, calculated from sample data, used to infer or describe properties of a population.

Significance Level

A threshold for determining whether a statistical result is considered statistically significant, usually denoted by alpha (α).

Statistical Inference

The process of drawing conclusions about population parameters based on data from a sample.