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The distribution of sum-of-squares of k independent standard normal random variables. For the test, use the [chi-squared-test] tag. Use also for related distributions.

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Proof that the sampling distribution of the sample variance from $N(0,1)\sim \chi_{n-1}^2$

Is this true? How to verify it? From the definition of chi square I can not judge whether it is chi square.
Richard Lin's user avatar