3. The percent of fat calories that a person in America consumes each day is normally
distributed with a mean of 36 and a standard deviation of ten. Suppose that 16 individuals
are randomly chosen. Let $\bar{X}$ = average percent of fat calories.
a. The distribution of $\bar{X}$ is
?with a mean of
and a standard
deviation of
ROUND YOUR ANWER TO 1 DECIMAL PLACE AS NEEDED.
b. For the group of 16, find the probability that the average percent of fat calories
consumed is more than 40. That is, $P(\bar{X} > 40) =$
ROUND YOUR ANWER TO 4
DECIMAL PLACE AS NEEDED.
c. Find the first quartile for the average percent of fat calories. In other words, find $q_1$ such
that the $P(\bar{X} \le q_1) = 0.25$.
ROUND YOUR ANWER TO 2 DECIMAL PLACE AS
