https://365datascience.com/dwqa-answer/answer-for-need-of-population-variance-in-finding-ci-with-t-score/ -
Hi Uday,
Whenever you are dealing with a small sample, you cannot find the population parameters. Therefore, you will not be able to use the Z-statistic.
You are suggesting to apply the population formula, however, it must be applied on population data and not on the sample data that we’ve got.
Best,
Iliya
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