Random samples of size 64 are taken from an infinite population whose mean and standard deviation are 240 and 16, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are
A) 240 and 16.
B) 64 and 16.
C) 8 and 2.
D) 240 and 2.

Question

Quizplus · Accepted Answer

The mean of the sample means will be the same as the population mean, which is 240. The standard error of the mean is calculated as the population standard deviation divided by the square root of the sample size, which is $16 / \sqrt{64} = 16 / 8 = 2$.

Random Samples of Size 64 Are Taken from an Infinite