Modest departures from normality


One of assumptions we sometimes need to make when performing statistical inferences is that the response variable in population has a Normal distribution. Is it possible to check that this assumption is satisfied?

A. Yes - we can be absolutely sure population was Normal if a plot of the data looks perfectly bell-shaped and symmetric.

B. Yes - we can be absolutely sure population was Normal if a plot of the data looks roughly bell-shaped and symmetric.

C. Yes - we can be absolutely sure population was Normal if a plot of the data has no major outliers.

D. No - we can't really check this assumption since all data will look perfectly bell-shaped as well as symmetric, even if the population was not Normal.

E. No - we can't really check this assumption since we don't have whole population, but the t distribution is robust to modest departures from Normality, so we can employ it if a plot of data has no major outliers.

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Basic Statistics: Modest departures from normality
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