You take all possible samples of size 100 from a very large population of values.The mean of the population is 550.The standard deviation is 50.You compute the mean of each sample.95% of the sample means will be greater than _________.
A)558.2
B)541.8
C)560.0
D)545.4
E)555.3

Question

Quizplus · Accepted Answer

The standard error of the mean is 50/sqrt(100) = 5. The 95% confidence interval for the mean is 550 +/- 1.96*5 = 550 +/- 9.8. Therefore, 95% of the sample means will be greater than 550 - 9.8 = 540.2.

You Take All Possible Samples of Size 100 from a Very