I think the answer to this question is False but I would like to confirm. Thank you for your help.

Question

True or False: Suppose the population mean is 50 and the population variance is 100 for a population. In a sample where n = 100 is randomly taken, 90% of all possible sample means will fall between 49 and 51.

Answer 1

Let's see:

CI90 = mean + or - 1.645 (sd/√n)

With the data given:

CI90 = 50 + or - 1.645 (10/√100)

Note: standard deviation is the square root of the variance.

Do the calculation for the confidence interval and see if your answer is correct.

I hope this will help.