Since confidence intervals are based on the sampling distribution of the sample mean,it is possible to form confidence intervals when sampling from slightly skewed distributions due to the central limit theorem.

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Quizplus · Accepted Answer

The central limit theorem allows us to use confidence intervals even when the population distribution is slightly skewed, as long as the sample size is large enough. This is because the sampling distribution of the sample mean becomes approximately normal with a large sample size, regardless of the shape of the population distribution.

Since Confidence Intervals Are Based on the Sampling Distribution of the Sample