Random samples of size 64 are taken from an infinite population whose mean and standard deviation are 24 and 6.4, respectively. The distribution of the population is unknown. The mean and the standard error of the mean are
A) 64 and 6.4.
B) 64 and 0.8.
C) 24 and 6.4.
D) 24 and 0.8.

Question

Quizplus · Accepted Answer

The mean of the sample mean will be the same as the population mean, which is 24. The standard error of the mean is equal to the standard deviation of the population (6.4) divided by the square root of the sample size (64). Therefore, the standard error of the mean is 6.4/√64 = 0.8.

Random Samples of Size 64 Are Taken from an Infinite