If we imagine all the possible random samples of 150 students at this university,99.7% of the samples should have means between what two numbers?
A)$2272.32 and $2727.68
B)$2,304.04 and $2,695.96
C)$150.00 and $2,695.96
D)$150.00 and $2,597.98
E)$300 and $4900

Question

Quizplus · Accepted Answer

The mean of the population is $2,500 and the standard deviation is $250. The standard error of the mean for a sample of 150 students is $250 / sqrt(150) = $12.25. 99.7% of the samples should have means between $2,500 +/- 2.576 * $12.25 = $2,500 +/- $31.52, which is between $2272.32 and $2727.68.

If We Imagine All the Possible Random Samples of 150