The average amount of money that people spend at Don Mcalds fast food place is $7.6400 with a standard deviation of $1.6800. 16 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of I? I - N c. What is the distribution of )r?)r - N( d. What is the probability that one randomly selected customer will spend more than $8.2100? e. For the 16 customers, find the probability that their average spent is less than $8.2100. f. Find the probability that the randomly selected 16 customers will spend more than $131.3600. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 16 people who spend the most money. At least how much must a group of 16 spend in total to get the free sundae? $
The average amount of money that people spend at Don Mcalds fast food place is $7.6400 with a standard deviation of $1.6800. 16 customers are randomly selected. Please answer the following questions, and round all answers to 4 decimal places where possible and assume a normal distribution. a. What is the distribution of X? X - N( b. What is the distribution of I? I - N c. What is the distribution of )r?)r - N( d. What is the probability that one randomly selected customer will spend more than $8.2100? e. For the 16 customers, find the probability that their average spent is less than $8.2100. f. Find the probability that the randomly selected 16 customers will spend more than $131.3600. g. For part e) and f), is the assumption of normal necessary? O NoO Yes h. The owner of Don Mcalds gives a coupon for a free sundae to the 2% of all groups of 16 people who spend the most money. At least how much must a group of 16 spend in total to get the free sundae? $
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
please answer parts d. e. and f.
![**Problem Description:**
At Don Mcalds fast food place, the average amount customers spend is $7.6400, with a standard deviation of $1.6800. Sixteen customers are randomly selected, and we assume a normal distribution.
**Questions:**
a. Determine the distribution of \( X \).
\( X \sim N( \_\_\_\_, \_\_\_\_ ) \)
b. Determine the distribution of \( \bar{x} \).
\( \bar{x} \sim N( \_\_\_\_, \_\_\_\_ ) \)
c. Determine the distribution of \( \sum x \).
\( \sum x \sim N( \_\_\_\_, \_\_\_\_ ) \)
d. What is the probability that one randomly selected customer will spend more than $8.2100?
[Answer Box]
e. For the 16 customers, find the probability that their average spent is less than $8.2100.
[Answer Box]
f. Find the probability that the randomly selected 16 customers will spend more than $131.3600.
[Answer Box]
g. For part e) and f), is the assumption of normal necessary?
O No O Yes
h. The owner of Don Mcalds gives a coupon for a free sundae to 2% of all groups of 16 people who spend the most money. At least how much must a group of 16 spend in total to get the free sundae?
[Answer Box]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4cbdcd8-71de-429b-b001-27d54b327ca5%2Fd1a7cd88-3345-46fe-a905-7b36622324c4%2Fj6v8o_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Description:**
At Don Mcalds fast food place, the average amount customers spend is $7.6400, with a standard deviation of $1.6800. Sixteen customers are randomly selected, and we assume a normal distribution.
**Questions:**
a. Determine the distribution of \( X \).
\( X \sim N( \_\_\_\_, \_\_\_\_ ) \)
b. Determine the distribution of \( \bar{x} \).
\( \bar{x} \sim N( \_\_\_\_, \_\_\_\_ ) \)
c. Determine the distribution of \( \sum x \).
\( \sum x \sim N( \_\_\_\_, \_\_\_\_ ) \)
d. What is the probability that one randomly selected customer will spend more than $8.2100?
[Answer Box]
e. For the 16 customers, find the probability that their average spent is less than $8.2100.
[Answer Box]
f. Find the probability that the randomly selected 16 customers will spend more than $131.3600.
[Answer Box]
g. For part e) and f), is the assumption of normal necessary?
O No O Yes
h. The owner of Don Mcalds gives a coupon for a free sundae to 2% of all groups of 16 people who spend the most money. At least how much must a group of 16 spend in total to get the free sundae?
[Answer Box]
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 4 steps
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman