If the population distribution is symmetric,the sampling distribution of the mean can be approximated by the normal distribution if the samples contain 15 observations.

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Quizplus · Accepted Answer

According to the central limit theorem, the sampling distribution of the mean becomes approximately normally distributed regardless of the population distribution as long as the sample size is large enough (usually at least 30 observations). However, if the population distribution is symmetric, the sampling distribution of the mean can still be approximated by the normal distribution with smaller sample sizes, such as 15 observations.

If the Population Distribution Is Symmetric,the Sampling Distribution of the Mean