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In statistical inference, measurements are made on a and generalizations are made to a
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In statistical inference, we make decision about the population based on the sample data taken from the population. For example, we calculate sample means and obtain the expectation of sample mean as an unbiased estimate of population mean. We measure mean based on sample observations and infer about the population mean.

So,

In statistical inference, measurements are made on a sample and generalization are made to a population.

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