Week 9: Chapter 7 - Central Limit Theorem (Mean) Progress saved': Done [9 'll' Score: 5/25 5/8 answered ' 0 Question 6 v ' B 8 pts '0 1 3 99 (D Details The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 5.5 ounces. 35 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ MC], D) b What IS the distribution of 5:? a':- N([:, S) c.What IS the probability that one randomly selected person drinks between 14. 5 and 15.1 ounces of coffee per day? S d. For the 35 people, find the probability that the average coffee consumption is between 14.5 and 15.1 ounces of coffee per day. [j . For part d), is the assumption that the distribution is normal necessary? 0 YesO No . Find the IQR for the average of 35 coffee drinkers. Q1 = ounces [:J Q3 = C] ounces :J IQR: ounces -..m Hint: Some Helpful Videos: _ L'.'...A:.._ .LA tunu..- n:......~L....:-_. r r.1