The average amount of money spent for lunch per person in the college cafeteria is $6.41 and the standarc deviation is $3. Suppose that 9 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. a. What is the distribution of X? X is approximately normal with Mean3 6.41 and SD= 3 b. What is the distribution of ? a is approximately normal with Mean= 6.41 and SD= .33 c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.38 and $6.71. d. For the group of 9 patrons, find the probability that the average lunch cost is between $5.38 and $6.71. e. For part d), is the assumption that the distribution is normal necessary? O YesO No

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 average amount of money spent for lunch per person in the college cafeteria is $6.41 and the standard
deviation is $3. Suppose that 9 randomly selected lunch patrons are observed. Assume the distribution of
money spent is normal, and round all answers to 4 decimal placeswhere possible.
a. What is the distribution of X? X is approximately normal with Mean= 6.41
and SD= 3
b. What is the distribution of x? a is approximately normal with Mean= 6.41
and SD= .33
c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is
between $5.38 and $6.71.
d. For the group of 9 patrons, find the probability that the average lunch cost is between $5.38 and
$6.71.
e. For part d), is the assumption that the distribution is normal necessary? O YesO No
> Next Question
Transcribed Image Text:The average amount of money spent for lunch per person in the college cafeteria is $6.41 and the standard deviation is $3. Suppose that 9 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal placeswhere possible. a. What is the distribution of X? X is approximately normal with Mean= 6.41 and SD= 3 b. What is the distribution of x? a is approximately normal with Mean= 6.41 and SD= .33 c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $5.38 and $6.71. d. For the group of 9 patrons, find the probability that the average lunch cost is between $5.38 and $6.71. e. For part d), is the assumption that the distribution is normal necessary? O YesO No > Next Question
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
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