The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 7 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

1. What is the distribution of XX? XX ~ N(__,__)
2. What is the distribution of xx? xx ~ N(__,__)
3. What is the probability that one randomly selected person drinks between 13.5 and 14.2 ounces of coffee per day?
4. For the 35 people, find the probability that the average coffee consumption is between 13.5 and 14.2 ounces of coffee per day.
5. For part d), is the assumption that the distribution is normal necessary? NoYes
6. Find the IQR for the average of 35 coffee drinkers. Q1 =__ ounces Q3 =__ ounces IQR: __ ounces
7. Please show to me the answer using the T1 84 calculator. Thank you.