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
Section: Chapter Questions
Problem 1P
icon
Related questions
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
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
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman