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
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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Problem 1P
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Question
![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 - N( 17
5.5
OF
b. What is the distribution of ? - NO 17
2.2454✓
c. What is the probability that one randomly selected person drinks between 15.5 and 18 ounces of coffee
per day? .1796
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed8faccd-6cf6-4e70-b90c-dd265de0d7ab%2F7f5f56f3-7ae5-4ed7-a09f-b54e0b446d4a%2F8cwisyj_processed.png&w=3840&q=75)
Transcribed Image Text: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 - N( 17
5.5
OF
b. What is the distribution of ? - NO 17
2.2454✓
c. What is the probability that one randomly selected person drinks between 15.5 and 18 ounces of coffee
per day? .1796
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
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