Answer :
The probability that the mean height of a sample of 28 ten-year-old males will be greater than 59 inches can be calculated using the Central Limit Theorem.
The heights of ten-year-old males are normally distributed with a mean of 60.6 inches and a standard deviation of 6.2 inches. If a pediatrician selects a random sample of 28 ten-year-old males from his patient population, the probability can be calculated using the Central Limit Theorem to find that the probability the mean height of this sample will be greater than 59 inches is approximately 0.8051.
