A tourism board in California, USA has conducted a survey of small hotels (defined as hotels with 12 or fewer rooms). One of the objectives was to establish the extent to which small hotels used the local tourist information center to obtain bookings. A simple random sampling was conducted from a population of 300 hotels. It was found that of 60 responses received, 45 hotels used the local tourists information center to obtain bookings. The Question: Within the same survey, hotel keepers were asked about their room prices. The average price of a single room was $200 per night and the standard deviations of prices was $60. The research officer was hoping to estimate the mean room price to within +$12. Estimate the smallest achieved sample size with atleast 95% confidence.
A tourism board in California, USA has conducted a survey of small hotels (defined as hotels with 12 or fewer rooms). One of the objectives was to establish the extent to which small hotels used the local tourist information center to obtain bookings. A simple random sampling was conducted from a population of 300 hotels. It was found that of 60 responses received, 45 hotels used the local tourists information center to obtain bookings. The Question: Within the same survey, hotel keepers were asked about their room prices. The average price of a single room was $200 per night and the standard deviations of prices was $60. The research officer was hoping to estimate the mean room price to within +$12. Estimate the smallest achieved sample size with atleast 95% confidence.
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
![A tourism board in California, USA has conducted a survey of small hotels (defined as
hotels with 12 or fewer rooms). One of the objectives was to establish the extent to
which small hotels used the local tourist information center to obtain bookings. A
simple random sampling was conducted from a population of 300 hotels. It was found
that of 60 responses received, 45 hotels used the local tourists information center to
obtain bookings.
The Question: Within the same survey, hotel keepers were asked about their
room prices. The average price of a single room was $200 per night
and the standard deviations
of prices was $60. The research officer was hoping to estimate the mean room
price to within + $12. Estimate the smallest achieved sample size with
atleast 95% confidence.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F45419eaf-3a4a-430c-9b87-de1d7bd91f1f%2F53b837b5-7c6e-42ef-bf62-876f544afa0a%2F7yw4rna_processed.jpeg&w=3840&q=75)
Transcribed Image Text:A tourism board in California, USA has conducted a survey of small hotels (defined as
hotels with 12 or fewer rooms). One of the objectives was to establish the extent to
which small hotels used the local tourist information center to obtain bookings. A
simple random sampling was conducted from a population of 300 hotels. It was found
that of 60 responses received, 45 hotels used the local tourists information center to
obtain bookings.
The Question: Within the same survey, hotel keepers were asked about their
room prices. The average price of a single room was $200 per night
and the standard deviations
of prices was $60. The research officer was hoping to estimate the mean room
price to within + $12. Estimate the smallest achieved sample size with
atleast 95% confidence.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
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 3 steps with 2 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
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