# One-Sample Standard Deviation Test

The One-Sample Variance test is used to test if the sample was drawn from a population with a variance equal to some hypothesized value.

### Hypotheses

The following hypotheses may be tested:

Where is the true population variance from which the sample was drawn, and is the hypothesized population value.

### Assumptions

- The sample has been randomly drawn from the population (Critical)
- The population from which the sample has been drawn is normally distributed (Critical)
- The measurements are at least Interval Level (Critical)

## Test Statistic

Where has n -1 df