Question

Police recorded the average speed of cars driving on a busy street by a school. For a sample of 25 speeds, it was determined that the average amount over the speed limit for the 25 speeds was 10.2 mph with a standard deviation of 8 mph. The 90% confidence interval estimate for this sample is 7.46 mph to 12.94 mph. a) What is the margin of error for this problem? b) What size sample is needed to reduce the margin of error to no more than \(\pm 1\)? a) The margin of error is 2.74 mph. b) The sample size should be at least speeds.

          Police recorded the average speed of cars driving on a busy street by a school. For a sample of 25 speeds, it was determined that the average amount over the speed limit for the 25 speeds was 10.2 mph with a standard deviation of 8 mph. The 90% confidence interval estimate for this sample is 7.46 mph to 12.94 mph.
a) What is the margin of error for this problem?
b) What size sample is needed to reduce the margin of error to no more than \(\pm 1\)?
a) The margin of error is 2.74 mph.
b) The sample size should be at least speeds.
        
Show more…
Police recorded the average speed of cars driving on a busy street by a school. For a sample of 25 speeds, it was determined that the average amount over the speed limit for the 25 speeds was 10.2 mph with a standard deviation of 8 mph. The 90% confidence interval estimate for this sample is 7.46 mph to 12.94 mph.
a) What is the margin of error for this problem?
b) What size sample is needed to reduce the margin of error to no more than ± 1?
a) The margin of error is 2.74 mph.
b) The sample size should be at least speeds.

Added by Hugo C.

Close

Elementary Statistics a Step by Step Approach
Elementary Statistics a Step by Step Approach
Allan G. Bluman 9th Edition
AceChat toggle button
Close icon
Ace pointing down

Please give Ace some feedback

Your feedback will help us improve your experience

Thumb up icon Thumb down icon
Thanks for your feedback!
Profile picture
If this can be solved by using StatCrunch, please indicate the steps on how to do so. If not, that's okay too. Thank you! The average speed for this sample is 7.46 mph to 12.94 mph. a) What is the margin of error for this problem? b) What size sample is needed to reduce the margin of error to no more than 1? The standard deviation is 8 mph. The 90% confidence interval estimate is: a) The margin of error is 2.74 mph. b) The sample size should be at least speeds.
Close icon
Play audio
Feedback
Powered by NumerAI
David Collins Ivan Kochetkov
Kathleen Carty verified

Adi S and 91 other subject Intro Stats / AP Statistics educators are ready to help you.

Ask a new question

*

Labs

-

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

*

Key Concepts

-
Key Concept
Premium Feature
Explore the core concept behind this problem.
Play button
Key Concept
Premium Feature
Explore the core concept behind this problem.
Your browser does not support the video tag.

*

Recommended Videos

-
police-recorded-the-average-speed-of-cars-driving-on-a-busy-street-by-a-school-for-a-sample-of-25-speeds-it-was-determined-ihat-ihe-average-amount-over-the-speed-limit-for-the-25-speeds-was-83703

Police recorded the average speed of cars driving on a busy street by a school. For a sample of 25 speeds, it was determined that the average amount over the speed limit for the 25 speeds was 13.7 mph with a standard deviation of 6 mph. The 90% confidence interval estimate for this sample is 11.65 mph to 15.75 mph. a) What is the margin of error for this problem? b) What size sample is needed to reduce the margin of error to no more than ± 1?

Adi S.

police-recorded-the-average-speed-of-cars-driving-on-a-busy-street-by-a-school-for-a-sample-of-16-speeds-it-was-determined-that-the-average-amount-over-the-speed-limit-for-the-16-speeds-was-12816

Police recorded the average speed of cars driving on a busy street by a school. For a sample of 16 speeds, it was determined that the average amount over the speed limit for the 16 speeds was 13.3 mph with a standard deviation of 6 mph. The 90% confidence interval estimate for this sample is 10.67 mph to 15.93 mph. a) What is the margin of error for this problem? b) What size sample is needed to reduce the margin of error to no more than ±1? a) The margin of error is nothing mph. b) The sample size should be at least nothing speeds.

Rosina D.

use-the-confidence-interval-to-find-the-margin-of-error-and-the-sample-mean_-04760600-the-margin-of-error-is-38899

Robin C.


*

Recommended Textbooks

-
Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition
achievement 1,223 solutions
The Practice of Statistics for AP

The Practice of Statistics for AP

Daren S. Starnes, Daniel S. Yates, David S. Moore 4th Edition
achievement 1,870 solutions
Introductory Statistics

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition
achievement 1,135 solutions

*

Transcript

-
00:01 Given n equal to 25, sample mean is 13 .7 mph, sample standard deviation 6 mph, and confidence level is 95 % base.
00:14 That is alpha equal to 1 minus 95 by 100 equal to 1 minus 0 .95 means 0 .05.
00:23 The sample size per margin of error plus r minus 1 is calculated as n equal to t critical value into s by margin of error whole square.
00:44 Here t critical value can be obtained using alpha equal to 0 .05 and degrees of freedom is n minus 1, that is, 25 minus 1 equal to 24...
Need help? Use Ace
Ace is your personal tutor. It breaks down any question with clear steps so you can learn.
Start Using Ace
Ace is your personal tutor for learning
Step-by-step explanations
Instant summaries
Summarize YouTube videos
Understand textbook images or PDFs
Study tools like quizzes and flashcards
Listen to your notes as a podcast
Continue solving this problem
Create a free account to:
  • View full step-by-step solution
  • Ask follow-up questions with Ace AI
  • Save progress and study later
Continue Free
Join the community

18,000,000+

Students on Numerade


Trusted by students at 8,000+ universities

Numerade

Get step-by-step video solution
from top educators

Continue with Clever
or



By creating an account, you agree to the Terms of Service and Privacy Policy
Already have an account? Log In

A free answer
just for you

Watch the video solution with this free unlock.

Numerade

Log in to watch this video
...and 100,000,000 more!


EMAIL

PASSWORD

OR
Continue with Clever