In order to use the chi-square distribution to construct confidence intervals and carry out hypothesis tests regarding the value of a population variance,an important assumption to be made is that the population is chi-square distributed.

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The assumption made in order to use chi-square distribution for constructing confidence intervals and hypothesis tests regarding the population variance is that the sample is taken from a normally distributed population. This is different from assuming that the population itself is chi-square distributed.

In Order to Use the Chi-Square Distribution to Construct Confidence