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The t-distribution should be chosen over the z-distribution for hypothsis testing if:

User Cababunga
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If you don't know the value of sigma (population standard deviation), then you must use the T distribution instead of the Z distribution. However, if the sample size n is greater than 30, then the T distribution is approximately the same as the Z distribution.

This means that even if you don't know sigma, you can use the Z distribution if n > 30.

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In short, you use T over Z if you don't know sigma and n = 30 or smaller

User Dalvinder Singh
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