Answer to Question #142955 in Statistics and Probability for Margaret

Question

A population has a mean of 200 and a standard deviation of 50 . A simple random sample of suze 100 will be taken and the sample mean will be use to estimate the population mean. The expected value of X is
1. 200
2. 100
3. 5
4. 20
5.150

Answer 1

Since the given sample size is very large (i.e N = 100) the sample mean 'X' will be approximately equal to the population mean (i.e $\mu$ = 200)

Hence the answer to the question is (E(X) = $\mu$)

Answer

1) Expected value of X = 200