If the sample size n is large and the sample is a random sam

If the sample size (n) is large, and the sample is a random sample, then the distribution of the sample mean x-bar is approximately a A) binomial distribution. B) uniform distribution. C) normal distribution. D) none of the above.

Solution

The sample mean is always a Normal distribution, with Mean equalling the population mean, and variance equalling (s^2/n) where s is the population variance and n is the number of samples taken