If we are to generalize with confidence from the sample to the population, then we have to be sure that the population is large enough to be evenly distributed around a mean, creating a bell-shaped curve in distribution.

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The statement is not entirely accurate. The population does not necessarily have to be large, rather the sample has to be randomly selected and representative of the population in order to make generalizations with confidence. The shape of the population distribution also depends on the nature of the variable being measured, and not all variables will necessarily follow a bell-shaped curve.

If We Are to Generalize with Confidence from the Sample