Answer to Question #317996 in Statistics and Probability for Alicehyejin

Question

A population and = 6 consists of the following values: 12, 14, 16, 18, 20 and 22. Estimate the population mean by using a sampling distribution with a random variable of size n= 3. Prepare and analyze the probability distributions of the sample means of the population values of N = 6.

Answer 1

The population mean

$\mu=\frac{12+14+16+18+20+22}{6}=17$

The probability distribution is symmetric around its mean 17