An owner of a novelty business operates both an online store and a retail store. The owner took a random sample of 50 sales from each store during the past year and recorded the purchase amount of each sale. Summary statistics are shown in the following table. n Online 50 Retail 50 Mean $42.80 $27.50 Standard deviation $10.50 $8.25 Assuming the conditions for inference were met, the owner calculated a 95 percent confidence interval for the difference in mean purchase amounts (online minus retail) as ($11.55, $19.05). Which of the following is an appropriate interpretation of the 95 percent confidence interval? We are 95% confident that the purchase amount from a randomly selected online store sale will be between (A) $11.55 and $19.05 greater than the purchase amount from a randomly selected retail store sale. (B) (C) (D) We are 95% confident that the sample mean purchase amount from the online store is between $11.55 and $19.05 greater than the sample mean purchase amount from the retail store for the past year. We are 95% confident that the population mean purchase amount from the online store is between $11.55 and $19.05 greater than the population mean purchase amount from the retail store for the past year. We are 95% confident that the population mean purchase amount for the past year from both stores combined is between $11.55 and $19.05. We are 95% confident that if new samples of the same size were taken from each store, the sample mean (E) purchase amount from the online store would be between $11.55 and $19.05 greater than the sample mean purchase amount from the retail store.
An owner of a novelty business operates both an online store and a retail store. The owner took a random sample of 50 sales from each store during the past year and recorded the purchase amount of each sale. Summary statistics are shown in the following table. n Online 50 Retail 50 Mean $42.80 $27.50 Standard deviation $10.50 $8.25 Assuming the conditions for inference were met, the owner calculated a 95 percent confidence interval for the difference in mean purchase amounts (online minus retail) as ($11.55, $19.05). Which of the following is an appropriate interpretation of the 95 percent confidence interval? We are 95% confident that the purchase amount from a randomly selected online store sale will be between (A) $11.55 and $19.05 greater than the purchase amount from a randomly selected retail store sale. (B) (C) (D) We are 95% confident that the sample mean purchase amount from the online store is between $11.55 and $19.05 greater than the sample mean purchase amount from the retail store for the past year. We are 95% confident that the population mean purchase amount from the online store is between $11.55 and $19.05 greater than the population mean purchase amount from the retail store for the past year. We are 95% confident that the population mean purchase amount for the past year from both stores combined is between $11.55 and $19.05. We are 95% confident that if new samples of the same size were taken from each store, the sample mean (E) purchase amount from the online store would be between $11.55 and $19.05 greater than the sample mean purchase amount from the retail store.
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
![An owner of a novelty business operates both an online store and a retail store. The owner took a random sample of
50 sales from each store during the past year and recorded the purchase amount of each sale. Summary statistics are
shown in the following table.
n
Online
50
Retail
50
Mean
$42.80
$27.50
Standard deviation
$10.50
$8.25
Assuming the conditions for inference were met, the owner calculated a 95 percent confidence interval for the
difference in mean purchase amounts (online minus retail) as ($11.55, $19.05).
Which of the following is an appropriate interpretation of the 95 percent confidence interval?
We are 95% confident that the purchase amount from a randomly selected online store sale will be between
(A) $11.55 and $19.05 greater than the purchase amount from a randomly selected retail store sale.
(B)
(C)
(D)
We are 95% confident that the sample mean purchase amount from the online store is between $11.55 and
$19.05 greater than the sample mean purchase amount from the retail store for the past year.
We are 95% confident that the population mean purchase amount from the online store is between $11.55
and $19.05 greater than the population mean purchase amount from the retail store for the past year.
We are 95% confident that the population mean purchase amount for the past year from both stores
combined is between $11.55 and $19.05.
We are 95% confident that if new samples of the same size were taken from each store, the sample mean
(E) purchase amount from the online store would be between $11.55 and $19.05 greater than the sample mean
purchase amount from the retail store.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe68930b7-6552-46b3-ab6f-1ff15a13eb9f%2F42cee2dc-2480-47dd-8379-2dbba602adc2%2Fbgo8l7o_processed.jpeg&w=3840&q=75)
Transcribed Image Text:An owner of a novelty business operates both an online store and a retail store. The owner took a random sample of
50 sales from each store during the past year and recorded the purchase amount of each sale. Summary statistics are
shown in the following table.
n
Online
50
Retail
50
Mean
$42.80
$27.50
Standard deviation
$10.50
$8.25
Assuming the conditions for inference were met, the owner calculated a 95 percent confidence interval for the
difference in mean purchase amounts (online minus retail) as ($11.55, $19.05).
Which of the following is an appropriate interpretation of the 95 percent confidence interval?
We are 95% confident that the purchase amount from a randomly selected online store sale will be between
(A) $11.55 and $19.05 greater than the purchase amount from a randomly selected retail store sale.
(B)
(C)
(D)
We are 95% confident that the sample mean purchase amount from the online store is between $11.55 and
$19.05 greater than the sample mean purchase amount from the retail store for the past year.
We are 95% confident that the population mean purchase amount from the online store is between $11.55
and $19.05 greater than the population mean purchase amount from the retail store for the past year.
We are 95% confident that the population mean purchase amount for the past year from both stores
combined is between $11.55 and $19.05.
We are 95% confident that if new samples of the same size were taken from each store, the sample mean
(E) purchase amount from the online store would be between $11.55 and $19.05 greater than the sample mean
purchase amount from the retail store.
AI-Generated Solution
Unlock instant AI solutions
Tap the button
to generate a solution
Recommended textbooks for you
![MATLAB: An Introduction with Applications](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781119256830/9781119256830_smallCoverImage.gif)
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
![Probability and Statistics for Engineering and th…](https://www.bartleby.com/isbn_cover_images/9781305251809/9781305251809_smallCoverImage.gif)
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
![Statistics for The Behavioral Sciences (MindTap C…](https://www.bartleby.com/isbn_cover_images/9781305504912/9781305504912_smallCoverImage.gif)
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…](https://www.bartleby.com/isbn_cover_images/9780134683416/9780134683416_smallCoverImage.gif)
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
![The Basic Practice of Statistics](https://www.bartleby.com/isbn_cover_images/9781319042578/9781319042578_smallCoverImage.gif)
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](https://www.bartleby.com/isbn_cover_images/9781319013387/9781319013387_smallCoverImage.gif)
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman