Heights of males are normally distributed with a mean of 165 cm and a standard deviation of 10 cm.

A)What is the probability that the sample mean height of males is greater than 170 cm for a random sample of 25 males?Show workings in your answer.

B)Without doing the calculations, would the probability that one randomly selected male is taller than 170 cm be smaller, larger or the same as the probability you found in part A)?Briefly explain your answer.