A population has a mean of 200 and a standard deviation of 50. A sample of size 100 will be taken and the sample mean will be used to estimate the population mean. What is the expected value of LaTeX: \overline{x}x ¯?

Respuesta :

Answer:

[tex]\bar{x}= 200[/tex]

Step-by-step explanation:

We are given the following in the question:

Population mean = 200

Population standard deviation = 50

Sample size, n = 100

We have to estimate the expected value of the sample mean.

The best point estimate for the sample mean is the population mean.

Thus, we can write:

[tex]\bar{x}= \mu = 200[/tex]

Thus, the expected value of the sample mean is 200.