Question

A certain population has a mean of 479 and a standard deviation of 33. Many samples of size 51 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.) (c) What shape would you expect the distribution of all these sample means to have? skewed right approximately normal skewed left uniform

Answer 1

Solution :

Given that,

mean = = 479

standard deviation = = 33

n = 51

a) = = 479

b) = / n = 33 / 51 = 4.62

c) approximately normal