The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 7 ounces. 35 randomly selected people are surveyed. Round all answers to 4...

The amount of coffee that people drink per day is normally distributed with a mean of 17 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 16.7 and 17.5 ounces of coffee per day?


4. For the 35 people, find the probability that the average coffee consumption is between 16.7 and 17.5 ounces of coffee per day.


5. For part d), is the assumption that the distribution is normal necessary? YesNo


6. Find the IQR for the average of 35 coffee drinkers.
   Q1 = ounces
   
   Q3 = ounces
   
   IQR: ounces