The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 5 ounces. 13 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 ? - NO c. What is the probability that one randomly selected person drinks between 16.5 and 17.5 ounces of coffee per day?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 46E
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Question 17
▼
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The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a
standard deviation of 5 ounces. 13 randomly selected people are surveyed. Round all answers to 4 decimal
places where possible.
Check Answer
a. What is the distribution of X? X - N(
b. What is the distribution of ? - NO
c. What is the probability that one randomly selected person drinks between 16.5 and 17.5 ounces of
coffee per day?
d. For the 13 people, find the probability that the average coffee consumption is between 16.5 and 17.5
ounces of coffee per day.
e. For part d), is the assumption that the distribution is normal necessary? O Yes No
f. Find the IQR for the average of 13 coffee drinkers.
Q1 =
ounces
Q3 =
IQR:
ounces
ounces
Transcribed Image Text:Question 17 ▼ < The amount of coffee that people drink per day is normally distributed with a mean of 17 ounces and a standard deviation of 5 ounces. 13 randomly selected people are surveyed. Round all answers to 4 decimal places where possible. Check Answer a. What is the distribution of X? X - N( b. What is the distribution of ? - NO c. What is the probability that one randomly selected person drinks between 16.5 and 17.5 ounces of coffee per day? d. For the 13 people, find the probability that the average coffee consumption is between 16.5 and 17.5 ounces of coffee per day. e. For part d), is the assumption that the distribution is normal necessary? O Yes No f. Find the IQR for the average of 13 coffee drinkers. Q1 = ounces Q3 = IQR: ounces ounces
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