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We use a distribution for inference about a population mean instead of the standard Normal distribution: if we do not have a simple random sample.

We use a distribution for inference about a population mean instead of the standard Normal distribution: if we do not have a simple random sample. if the original population does not have a Normal distribution. if we do not know the population standard deviation and must use the sample standard deviation. if we do not know the population mean and must use the sample mean

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