# The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 4 ounces. 11 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ N(,) What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) What is the probability that one randomly selected person drinks between 13.5 and 15 ounces of coffee per day?

Question

The amount of coffee that people drink per day is normally distributed with a mean of 14 ounces and a standard deviation of 4 ounces. 11 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 15 ounces of coffee per day?
4. For the 11 people, find the probability that the average coffee consumption is between 13.5 and 15 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 11 coffee drinkers.
Q1 =  ounces
Q3 =  ounces
IQR:  ounces