Statistics
posted by Billy on .
I think the answer to this question is False but I would like to confirm. Thank you for your help.
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.

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.