he average amount of money spent for lunch per person in the college cafeteria is $6.57 and the standard deviation is $2.93. Suppose that 47 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. What is the distribution of XX? XX ~ N(,) ____________,  __________ What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) __________ , __________ For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.44 and $6.85. _________ For the group of 47 patrons, find the probability that the average lunch cost is between $6.44 and $6.85. _______ For part d), is the assumption that the distribution is normal necessary? NoYes

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 $6.57 and the standard deviation is $2.93. Suppose that 47 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible.

  1. What is the distribution of XX? XX ~ N(,) ____________,  __________
  2. What is the distribution of ¯xx¯? ¯xx¯ ~ N(,) __________ , __________
  3. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.44 and $6.85. _________
  4. For the group of 47 patrons, find the probability that the average lunch cost is between $6.44 and $6.85. _______
  5. For part d), is the assumption that the distribution is normal necessary? NoYes
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 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