The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 6 ounces. 34 randomly selected people are surveyed. Round all answers to 4 decimal places where possible.

1. What is the distribution ofX?X~ N(___________, _________)
2. What is the distribution ofx?x~ N(________, _________)
3. What is the probability that one randomly selected person drinks between 13.8 and 14.1 ounces of coffee per day?(_________)
4. For the 34 people, find the probability that the average coffee consumption is between 13.8 and 14.1 ounces of coffee per day.(___________)
5. For part d), is the assumption that the distribution is normal necessary?Yes or No
6. Find the IQR for the average of 34 coffee drinkers.
7. Q1 = (___________)ounces
8. Q3 =(___________)ounces
9. IQR:(____________)ounces