Many quantities we measure-such as height, weight, and distance-are necessarily pos- itive. It therefore follows that the
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"Many quantities we measure-such as height, weight, and distance-are necessarily pos- itive. It therefore follows that the mean of a sample of observations on such a quantity must also be positive. However, the normal distribution supposes a range of values from minus infinity to plus infinity. Thus, in spite of the central limit theorem, the normal distri- bution cannot possibly be appropriate for such sample means." Comment on this statement.
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