A hypothesis test involving one population standard deviation sometimes involves the calculation of $x^{2}=\frac{(n-1) s^{2}}{\sigma^{2}}$.

Question

Quizplus · Accepted Answer

This formula is used in hypothesis testing for one population variance or standard deviation, where $x^{2}$ represents the chi-square statistic, $n$ is the sample size, $s^{2}$ is the sample variance, and $\sigma^{2}$ is the population variance under the null hypothesis.

A Hypothesis Test Involving One Population Standard Deviation Sometimes Involves x2=(n−1)s2σ2x^{2}=\frac{(n-1) s^{2}}{\sigma^{2}}x2=σ2(n−1)s2​

A Hypothesis Test Involving One Population Standard Deviation Sometimes Involves $x^{2}=\frac{(n-1) s^{2}}{\sigma^{2}}$