While checking receipts at The Hog Cafe, it was determined that the average amount spent on food per table was $21.50 with a standard deviation of $2.22. If we can assume that the amount of money spent was normally distributed, what is the probability that the average of 8 checks is between $20 and $23? 0.9719 0.9438 0.9066 0.8827

College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
icon
Related questions
Question
While checking receipts at The Hog Cafe, it was determined that the
average amount spent on food per table was $21.50 with a standard
deviation of $2.22. If we can assume that the amount of money spent
was normally distributed, what is the probability that the average of 8
checks is between $20 and $23?
0.9719
0.9438
0.9066
0.8827
Transcribed Image Text:While checking receipts at The Hog Cafe, it was determined that the average amount spent on food per table was $21.50 with a standard deviation of $2.22. If we can assume that the amount of money spent was normally distributed, what is the probability that the average of 8 checks is between $20 and $23? 0.9719 0.9438 0.9066 0.8827
Expert Solution
Step 1

Given that, 

Let X be the random variable from normal distribution with average or mean (μ) = $21.50 and standard deviation (σ) = $2.22

Then, 

We will find the probability that the average of 8 checks is between $20 and $23 ? 

trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL