The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 5.5 ounces. 6 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N17 5.5 b. What is the distribution of ? ~ N( 17 2.2454✔ or c. What is the probability that one randomly selected person drinks between 15.5 and 18 ounces of coffee per day? .1796 or d. For the 6 people, find the probability that the average coffee consumption is between 15.5 and 18 ounces of coffee per day. .405 X e. For part d), is the assumption that the distribution is normal necessary? No Yes f. Find the IQR for the average of 6 coffee drinkers. Q1 = ounces Q3 = ounces IQR: ounces
The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 5.5 ounces. 6 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. a. What is the distribution of X? X - N17 5.5 b. What is the distribution of ? ~ N( 17 2.2454✔ or c. What is the probability that one randomly selected person drinks between 15.5 and 18 ounces of coffee per day? .1796 or d. For the 6 people, find the probability that the average coffee consumption is between 15.5 and 18 ounces of coffee per day. .405 X e. For part d), is the assumption that the distribution is normal necessary? No Yes f. Find the IQR for the average of 6 coffee drinkers. Q1 = ounces Q3 = ounces IQR: ounces
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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