Given a population with mu = 64 and sigma = 25, if one draws samples of size l55, the sample means will have a distribution which is approximately normal with:

Solution: We are given a population follows a normal distribution with Mean and standard deviation

According to central limit theorem, if we have a population with mean and standard deviation and take large samples from the population, then the distribution of samples means will be approximately normally distributed with mean and standard deviation given below:

Therefore, for the given example the distribution of sample means will be approximately normal with mean and standard deviation given below:

rounded to 2 decimal places.