If the sample size is large, the standard normal distribution can be used in place of the chi-square in a goodness-of-fit test for testing whether the population is normally distributed.

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Quizplus · Accepted Answer

The chi-square distribution is specifically designed for goodness-of-fit tests, including tests for normality, regardless of sample size. The standard normal distribution is not a substitute for the chi-square distribution in this context.

If the Sample Size Is Large, the Standard Normal Distribution