Please solve letter F
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Please solve letter F
![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 15
b. What is the distribution of ? - N( 15
1.4142
c. What is the probability that one randomly selected person drinks between 14 and 16 ounces of coffee
per day? 0.1324
d. For the 18 people, find the probability that the average coffee consumption is between 14 and 16
ounces of coffee per day. 0.5204
<
Hint:
Some Helpful Videos:
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 =
ounces
Q3 =
IQR:
●
●
ounces
6
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 [+]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa3f191a8-a1b2-42ed-ac9e-32d60645d728%2F9f36f421-1947-447c-b5d0-c5badfdc454f%2Fxz4aufg_processed.jpeg&w=3840&q=75)
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 15
b. What is the distribution of ? - N( 15
1.4142
c. What is the probability that one randomly selected person drinks between 14 and 16 ounces of coffee
per day? 0.1324
d. For the 18 people, find the probability that the average coffee consumption is between 14 and 16
ounces of coffee per day. 0.5204
<
Hint:
Some Helpful Videos:
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 =
ounces
Q3 =
IQR:
●
●
ounces
6
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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