Question

The distribution of incomes of adults is a right skewed distribution. Therefore if we select many samples of 64 incomes at random from this distribution, the means of these samples will also have a right skewed distribution.

Answer 1

False

, since sample size is greater than 30, from central limit theorem we can conclude that sampling distribution of mean will be approximately normal.

(Since here we are making distribution for sample mean and not for individual observations.

As we increase the sample size. the sample mean target the population mean with smaller standard deviation and therefore looks less and less skewed and become more closer to normal distribution)