The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 7 ounces. 34 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

A. What is the distribution ofX?X~ N ( , )

B. What is the distribution ofx ?x~ N ( , )

C. What is the probability that one randomly selected person drinks between 14.6 and 15.1 ounces of coffee per day?

For the 34 people, find the probability that the average coffee consumption is between 14.6 and 15.1 ounces of coffee per day.

D. For part d), is the assumption that the distribution is normal necessary?Yes or No

E. Find the IQR for the average of 34 coffee drinkers.

1. Q1 = ounces
2. Q3 = ounces
3. IQR: ounces