Homework Help is Here – Start Your Trial Now!
Math
Statistics
The average amount of money spent for lunch per person in the college cafeteria is $7.39 and the standard deviation is $2.94. Suppose that 41 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~ N(7.39 b. What is the distribution of ? a~ N(] c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.7112 and $8.2708 d. For the group of 41 patrons, find the probability that the average lunch cost is between $7.7112 and $8.2708 2.94 Yes ONo e. For part d), is the assumption that the distribution is normal necessary? Hint:

The average amount of money spent for lunch per person in the college cafeteria is $7.39 and the standard deviation is $2.94. Suppose that 41 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~ N(7.39 b. What is the distribution of ? a~ N(] c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.7112 and $8.2708 d. For the group of 41 patrons, find the probability that the average lunch cost is between $7.7112 and $8.2708 2.94 Yes ONo e. For part d), is the assumption that the distribution is normal necessary? Hint:

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
See similar textbooks
icon
Related questions
Question
The average amount of money spent for lunch per person in the college cafeteria is $7.39 and the standard deviation is $2.94. Suppose that 41 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~ N(7.39 b. What is the distribution of ? a~ N(] c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.7112 and $8.2708 d. For the group of 41 patrons, find the probability that the average lunch cost is between $7.7112 and $8.2708 2.94 Yes ONo e. For part d), is the assumption that the distribution is normal necessary? Hint:
Transcribed Image Text:The average amount of money spent for lunch per person in the college cafeteria is $7.39 and the standard deviation is $2.94. Suppose that 41 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~ N(7.39 b. What is the distribution of ? a~ N(] c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $7.7112 and $8.2708 d. For the group of 41 patrons, find the probability that the average lunch cost is between $7.7112 and $8.2708 2.94 Yes ONo e. For part d), is the assumption that the distribution is normal necessary? Hint:
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 4 steps with 3 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
SEE MORE TEXTBOOKS