If you’ve ever taken a statistics class at a graduate-level program, most probably your instructor would have begun the course with the Central Limit Theorem (CLT). Before we get started, a refresher on CLT:

Regardless of the distribution of the population, the sampling distribution of sample means is normal, provided that the samples are randomly picked with replacement and the sample size is sufficiently large (n≥30).

In case, the population is normally distributed, the sampling distribution of the sample means is normally distributed even for lower sample sizes.

As we increase our sample size, the mean of the sampling distribution approaches the true mean (mean of the population). …

Rohit Tolawat

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