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

1. What is the distribution of X? X ~ N( __?__ , __?__)

2.What is the distribution of ¯x ? ¯x ~ N(__?__,__?__)

3. What is the probability that one randomly selected person drinks between 15.5 and 18.5 ounces of coffee per day?  __?__

4. For the 7 people, find the probability that the average coffee consumption is between 15.5 and 18.5 ounces of coffee per day. __?__

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

1. Find the IQR for the average of 7 coffee drinkers.
   Q1 = __?__ ounces
   Q3 = __?__ ounces
   IQR: __?__ ounces