Question

A simple random sample of 60 items resulted in a sample mean of 90. The population standard deviation is ? = 15. (a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.) 56.901 to 63.099 (b) Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.) to (c) What is the effect of a larger sample size on the interval estimate? A larger sample size provides a smaller margin of error. A larger sample size does not change the margin of error. A larger sample size provides a larger margin of error.

          A simple random sample of 60 items resulted in a sample mean of 90. The population standard deviation is ? = 15.
(a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.)
56.901 to 63.099
(b) Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.)
to
(c) What is the effect of a larger sample size on the interval estimate?
A larger sample size provides a smaller margin of error.
A larger sample size does not change the margin of error.
A larger sample size provides a larger margin of error.
        
Show more…
A simple random sample of 60 items resulted in a sample mean of 90. The population standard deviation is ? = 15.
(a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.)
56.901 to 63.099
(b) Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.)
to
(c) What is the effect of a larger sample size on the interval estimate?
A larger sample size provides a smaller margin of error.
A larger sample size does not change the margin of error.
A larger sample size provides a larger margin of error.

Added by Jd

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
Close icon
Play audio
Feedback
Powered by NumerAI
Danielle Fairburn David Collins
Jennifer Stoner verified

Ivan Kochetkov and 54 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

-
a-simple-random-sample-of-60-items-resulted-in-a-sample-mean-of-70-the-population-standard-deviation-is-15-a-compute-the-95-confidence-interval-for-the-population-mean-round-your-answers-to-82268

A simple random sample of 60 items resulted in a sample mean of 70. The population standard deviation is σ = 15. (a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.) __ to __ (b) Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.) __ to __ (c) What is the effect of a larger sample size on the interval estimate? A larger sample size provides a larger margin of error. A larger sample size does not change the margin of error. A larger sample size provides a smaller margin of error.

David N.

a-simple-random-sample-of-60-items-resulted-in-a-sample-mean-of-80-the-population-standard-deviation-is-10-a-compute-the-95-confidence-interval-for-the-population-mean-round-your-answers-to-59449

A simple random sample of 60 items resulted in a sample mean of 80. The population standard deviation is σ = 10. (a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.) ____ to ____ (b) Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.) ____ to _____ (c) What is the effect of a larger sample size on the interval estimate? *A larger sample size provides a smaller margin of error. *A larger sample size does not change the margin of error. *A larger sample size provides a larger margin of error.

Adi S.

simple-random-sample-of-90-items-resulted-in-sample-mean-of-80_-the-population-standard-deviation-is-a-compute-the-95-confidence-interval-for-the-population-mean_-round-vour-answers-to-two-d-49615

A simple random sample of 90 items resulted in a sample mean of 80. The population standard deviation is σ = 15. (a) Compute the 95% confidence interval for the population mean. (Round your answers to two decimal places.) (b) Assume that the same sample mean was obtained from a sample of 180 items. Provide a 95% confidence interval for the population mean. (Round your answers to two decimal places.) (c) What is the effect of a larger sample size on the interval estimate? A larger sample size provides a smaller margin of error. A larger sample size does not change the margin of error. A larger sample size provides a larger margin of error.

Joanna Q.


*

Recommended Textbooks

-
Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition
achievement 1,899 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 1,228 solutions
Introductory Statistics

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition
achievement 1,393 solutions

*

Transcript

-
00:01 Hello, here we have to solve the following problem.
00:02 Sample has a size of 60 items and that is n1.
00:09 Mean of the sample is 90 and the population standard deviation sigma is 15.
00:19 First in question a we have to find 95 confidence interval.
00:29 Let's do this.
00:31 So here this confidence interval can be found as following that is mean plus minus t coefficient times sigma over square root of n.
00:43 Here we need to determine number of degrees of freedom which is n1 minus 1 that is 59.
00:55 And now let's use either calculator or a table to determine t.
01:00 Let's do this.
01:02 That is 2.
01:05 Now once it's calculated let's determine the confidence interval.
01:32 Then this confidence interval is from 86 .13 to 93 .87.
01:44 That is answer to question one.
01:47 Now let's move on to question two, question b...
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
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