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 ¯?

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:

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

expression #3 is not equivalent. the others are.

add all the numbers and check the ones place.

the answer is 486. as the ones place is more than 4, the estimation will be the next 10 ie, 490