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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 6 ounces. 18 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 ? - N c. What is the probability that one randomly selected person drinks between 14 and 16 ounces of coffee per day? d. For the 18 people, find the probability that the average coffee consumption is between 14 and 16 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 18 coffee drinkers. Q1 = Q3 = IQR: ounces ounces ounces

The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 6 ounces. 18 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 ? - N c. What is the probability that one randomly selected person drinks between 14 and 16 ounces of coffee per day? d. For the 18 people, find the probability that the average coffee consumption is between 14 and 16 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 18 coffee drinkers. Q1 = Q3 = IQR: ounces ounces ounces

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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Question 22 ▼ The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 6 ounces. 18 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? - NO c. What is the probability that one randomly selected person drinks between 14 and 16 ounces of coffee per day? d. For the 18 people, find the probability that the average coffee consumption is between 14 and 16 ounces of coffee per day. Hint: Some Helpful Videos: e. For part d), is the assumption that the distribution is normal necessary? O No Yes f. Find the IQR for the average of 18 coffee drinkers. Q1 = Q3 = IQR: Hint ounces ounces ounces • 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[+]
Transcribed Image Text:Question 22 ▼ The amount of coffee that people drink per day is normally distributed with a mean of 15 ounces and a standard deviation of 6 ounces. 18 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? - NO c. What is the probability that one randomly selected person drinks between 14 and 16 ounces of coffee per day? d. For the 18 people, find the probability that the average coffee consumption is between 14 and 16 ounces of coffee per day. Hint: Some Helpful Videos: e. For part d), is the assumption that the distribution is normal necessary? O No Yes f. Find the IQR for the average of 18 coffee drinkers. Q1 = Q3 = IQR: Hint ounces ounces ounces • 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[+]
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