Question

Suppose babies born in a large hospital have a mean weight of 3685 grams, and a variance of 3330,625.

If 113 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by less than 50 grams? Round your answer to four decimal places.

Answer 1

Solution :

= / n = 1825 / 113

= P[ -50 / 1825 / 113 < ( - ) / < 50 / 1825 / 113)]

= P(-0.29 < Z < 0.29)

= P(Z < 0.29) - P(Z < -0.29)

= 0.2282