The central limit theorem allows us to use a z-statistic to compute probabilities for the sampling distribution of the sample mean.

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This is true. The central limit theorem states that for a large enough sample size, the sampling distribution of the sample mean will be approximately normal, regardless of the distribution of the population. This allows us to use a z-statistic to compute probabilities for the sampling distribution.

The Central Limit Theorem Allows Us to Use a Z-Statistic