Consider the approximately normal population of heights of male college students with mean ì = 69 inches and standard deviation of ó = 4.6 inches. A random sample of 25 heights is obtained.

Question

(c) Find the standard error of this sampling distribution. (Give your answer correct to two decimal places.)
Incorrect: Your answer is incorrect. .

(d) What is the probability that this sample mean will be between 40 and 55? (Give your answer correct to four decimal places.)


(e) What is the probability that the sample mean will have a value greater than 52? (Give your answer correct to four decimal places.)


(f) What is the probability that the sample mean will be within 6 units of the mean? (Give your answer correct to four decimal places.)

Answer 1

c) SEm = SD/√n

d) Z = (score-mean)/SEm

Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability related to each Z score.

e) "Within 6 units of the mean" = 63-75. Use process above.