The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and standard deviation of 6.5 ounces. 33 randomly selected people are surveyed. Round all answers to decimal places where possible.
a. What is the distribution of X? X ~ N(16, 6.5)
b. What is the distribution of 1? 1 ~ N(16, 6.5/√33)
c. What is the probability that one randomly selected person drinks between 15.9 and 16.5 ounces of coffee per day?
d. For the 33 people, find the probability that the average coffee consumption falls between 15.9 and 16.5 ounces of coffee per day.
e. For part d, is the assumption that the distribution is normal necessary? No
f. Find the IQR for the average of 33 coffee drinkers.
