The confidence interval formula for estimating μ, that is used when n is large, is based on the Central Limit Theorem.

Question

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The Central Limit Theorem states that when sample sizes are sufficiently large, the sampling distribution of the mean will be approximately normally distributed. This allows us to use the formula for a confidence interval, which is based on the assumption of normality.

The Confidence Interval Formula for Estimating μ, That Is Used