Answer to Question #128552 in Statistics and Probability for Umair

Question

A sampling distribution of means of all possible samples so size 100 is formed. The parent population has a mean is 5 and the standard deviation is 1.4. Find the value of sample mean.
(b) Population consists of four numbers. 16, 18, 18, 20. Take all possible samples of size three. Calculate mean and variance of sample means and compare them with population mean and variance.

Answer 1

a)Sample mean value=5

b) sample 16,18,18 population mean=17.33, variance=0.888

sample mean=17.33 , variance =1.333

sample 16,18,20 population mean=18, variance=2.66

sample mean=18 , variance =4

sample 20,18,18 population mean=18.66, variance=0.888

sample mean=18.66 , variance =1.333