A certain population has a mean of 455 and a standard deviat

A certain population has a mean of 455 and a standard deviation of 21. Many samples of size 32 are randomly selected and the means calculated.

A)What value would you expect to find for the mean of all these sample means? (Give your answer correct to nearest whole number.)

B)What value would you expect to find for the standard deviation of all these sample means? (Give your answer correct to two decimal places.)

Solution

a)

the value of expect that I find for the mean of all these sample mean is 455

b)

the value that I would expect to find for the SD of all these sample means is 21 / srqt(32) = 3.71