Population Distributions

4 Concepts
Sampling Distributions

3 Concepts
Z-scores

6 Concepts
T-scores

5 Concepts
Assumptions for Sampling Distributions

4 Concepts
Confidence Intervals

8 Concepts
Hypothesis Tests

13 Concepts
**Z-scores** are a standardized measure of how many **standard deviations** a given data point is away from the **mean** of its data set, given that the data set follows a **standard normal** **distribution**.

**x** is the value we choose.**µ** is the mean of the distribution.**σ **is the standard deviation of the distribution.

We find the p-value ("probability"-value) associated with the z-score in this table.

That p-value refers to the area under the standard normal distribution (a.k.a. z-distribution) to the *left* of our z-score!

**Z-score** = 0.33

**p-value** = 0.6293 or 62.93%

This means that 62.93% of the area under the standard normal distribution occurs to the left of our z-score!

A z-score of +0.33 means our data point (x) lies 0.33 standard deviations (σ) to the right of the mean (µ)!

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