Central limit theorem

The amount of coffee that people drink per day is normally distributed with a mean of 16 ounces and a standard deviation of 5 ounces. 17 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N( b. What is the distribution of a? X - N( c. What is the probability that one randomly selected person drinks between 15 and 16.5 ounces of coffee per day? d. For the 17 people, find the probability that the average coffee consumption is between 15 and 16.5 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? No Yes f. Find the IQR for the average of 17 coffee drinkers. Q1 = ounces Q3 = ounces IQR: ounces Hint: Some Helpful Videos: Finding the Sampling Distribution [+] Finding a Probability Using the Central Limit Theorem [+] . Finding Value Given a Probability Using the Central Limit Theorem [+] . The Central Limit Theorem For Sums [+] Hint