A sample of size n is randomly selected from a non-normal population with mean and standard deviation o. a. Describe the mean and standard deviation of the sampling distribution of X for all samples of size n selected from this population. The Central Limit Theorem (CLT) states that if, then the sampling distribution of sample means is reasonably approximated by a . The mean of the sampling distribution of x, denoted x , is to the underlying population mean . The standard deviation of the sampling distribution of x, denoted ox, is called the of the mean and is equal to onv. b. Describe the shape of the sampling distribution in if n=150 For n=150, the distribution of sample means very well approximates the normal distributions, and is bell- shaped. For n=150, since the initial distribution is non-normal, the distribution of sample means does not approximates the normal distributions, and depends on the initial distribution.