Assume that the growth duration to full maturity for a medicinal plant can be described by a

normal distribution with a mean of 252 days and a standard deviation of 15 days. What is the

difference in asking, "If a medicinal plant is selected at random what is the probability that its time

to maturity is less than 234 days?" and "What is the probability that the mean of a random

sample of 60 of these medicinal plants would have a growth duration of exceeds than 256 days?"

a) Explain the difference in the questions Statistically.

b) Answer the second question: What is the probability that the mean of a random sample of 60

of these medicinal plants would have a growth duration of less than 248 days?