Suppose you take a random sample of size 25 from a populatio

Suppose you take a random sample of size 25 from a population with mean of 120 and a standard deviation of 15. Your sample has a mean of 115 and a standard deviation of 13.8. Which of the following has a mean of 120 and a standard deviation of 3? the distribution of the population the distribution of the sample data. the sampling distribution of the sample mean. the sampling distribution of the population mean. No important distribution related to this situation has the given mean and standard deviation.

Solution

(C) is correct.

mean of sample means = true mean = 120

std dev of sample mean = true std / sqrt(n) = 15/5 = 3