The percent of calories from fat that a person in the United States consumes has a mean of about 36 and a standard deviation of 10. Suppose that sixteen individuals are randomly chosen.

• Let Xbar = the average percent of calories from fat

• mean for the averages =

• standard deviation for the averages =

• Xbar ~ N( )

• For a group of 16 people, find the probability that the average percent of calories from fat consumed is more than 30.

Graph Probability StatementP(Xbar > 30)

• Find the probability that the average percent of calories a person consumes from fat is between 30 and 40.

• Graph P(30 < Xbar < 40)

• Find the first quartile for the average percent of calories from fat. Let k = the first quartile

• Graph P(Xbar < k) = 0.25