The population of current statistics students has ages with

The population of current statistics students has ages with mean and standard deviation

Samples of statistics students are randomly selected so that there are exactly 53 students in each sample. For each sample, the mean age is computed. What does the central limit theorem tell us about the distribution of those mean ages?

Solution

central limit theorem says that

since the size of population is greater than 30 , the sample distribution of mean ages can be approximated to normal distribution