The average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard deviation is $2.31. Suppose that 48 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X - NO b. What is the distribution of x? x ~ N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.3599 and $6.5666. d. For the group of 48 patrons, find the probability that the average lunch cost is between $6.3599 and $6.5666. e. For part d), is the assumption that the distribution is normal necessary? Yes No

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 22PFA
icon
Related questions
Question
100%

I need help with this problem.

The average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard
deviation is $2.31. Suppose that 48 randomly selected lunch patrons are observed. Assume the distribution
of money spent is normal, and round all answers to 4 decimal places where possible.
a. What is the distribution of X? X ~ N(
b. What is the distribution of x? x ~ N(
c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is
between $6.3599 and $6.5666.
d. For the group of 48 patrons, find the probability that the average lunch cost is between $6.3599 and
$6.5666.
e. For part d), is the assumption that the distribution is normal necessary? ○ Yes No
Transcribed Image Text:The average amount of money spent for lunch per person in the college cafeteria is $6.06 and the standard deviation is $2.31. Suppose that 48 randomly selected lunch patrons are observed. Assume the distribution of money spent is normal, and round all answers to 4 decimal places where possible. a. What is the distribution of X? X ~ N( b. What is the distribution of x? x ~ N( c. For a single randomly selected lunch patron, find the probability that this patron's lunch cost is between $6.3599 and $6.5666. d. For the group of 48 patrons, find the probability that the average lunch cost is between $6.3599 and $6.5666. e. For part d), is the assumption that the distribution is normal necessary? ○ Yes No
Expert Solution
steps

Step by step

Solved in 6 steps with 4 images

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