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The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 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 N b. What is the distribution of ? I N c. What is the probability that one randomly selected person drinks between 14.5 and 15.5 ounces of coffee per day? botween 14 5 and 15.5

The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 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 N b. What is the distribution of ? I N c. What is the probability that one randomly selected person drinks between 14.5 and 15.5 ounces of coffee per day? botween 14 5 and 15.5

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 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 N( b. What is the distribution of ? I N c. What is the probability that one randomly selected person drinks between 14.5 and 15.5 ounces of coffee per day? d. For the 35 people, find the probability that the average coffee consumption is between 14.5 and 15.5 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? O YesO No f. Find the IQR for the average of 35 coffee drinkers. 01= ounces Q3= ounces IOR: ounces 52
Transcribed Image Text:The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 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 N( b. What is the distribution of ? I N c. What is the probability that one randomly selected person drinks between 14.5 and 15.5 ounces of coffee per day? d. For the 35 people, find the probability that the average coffee consumption is between 14.5 and 15.5 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? O YesO No f. Find the IQR for the average of 35 coffee drinkers. 01= ounces Q3= ounces IOR: ounces 52
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