Question

Understanding the sampling distribution: When statistical inference is performed, the sampling distribution sometimes follows a Normal distribution and sometimes takes the form of a t distribution. When is the Normal distribution appropriate and when is the t distribution appropriate? Which distribution do you think is more realistic in practice and why?

          Understanding the sampling distribution:
When statistical inference is performed, the sampling
distribution sometimes follows a Normal distribution and sometimes
takes the form of a t distribution.
When is the Normal distribution appropriate and when is the t
distribution appropriate?
Which distribution do you think is more realistic in practice
and why?
        
Show more…

Added by Sonia H.

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
Understanding the sampling distribution: When statistical inference is performed, the sampling distribution sometimes follows a Normal distribution and sometimes takes the form of a t distribution. When is the Normal distribution appropriate and when is the t distribution appropriate? Which distribution do you think is more realistic in practice and why?
Close icon
Play audio
Feedback
Powered by NumerAI
Ivan Kochetkov David Collins
Jennifer Stoner verified

Aarya B and 58 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

-
why-does-sample-size-need-to-be-accounted-for-in-the-t-distribution-choose-the-correct-answer-below-the-accuracy-of-the-t-distribution-depends-on-the-sample-size-the-t-distribution-should-no-52093

Why does sample size need to be accounted for in the t-distribution? Choose the correct answer below. A. The accuracy of the t-distribution depends on the sample size. B. The t-distribution should not be used for large sample sizes. C. The t-distribution becomes less skewed as the sample size increases. D. The t-distribution should not be used for small sample sizes. E. The t-distribution changes for different sample sizes. Click to select your answer.

Adi S.

under-what-conditions-is-it-appropriate-to-use-a-normal-distribution-to-approximate-the-hatp-distrib

Under what conditions is it appropriate to use a normal distribution to approximate the $\hat{p}$ distribution?

Understandable Statistics, Concepts and Methods

Normal Curves and Sampling Distributions

Normal Approximation to Binomial Distribution and to $\hat{p}$ Distribution

under-what-conditions-if-any-is-it-not-correct-to-assume-that-the-sampling-distribution-of-the-sample-mean-is-approximately-normally-distributed-explain-your-reasoning-06519

Under what conditions, if any, is it not correct to assume that the sampling distribution of the sample mean is approximately normally distributed? Explain your reasoning.

Rashmi S.


*

Recommended Textbooks

-
Elementary Statistics a Step by Step Approach

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition
achievement 1,316 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 1,009 solutions
Introductory Statistics

Introductory Statistics

Barbara Illowsky, Susan Dean 1st Edition
achievement 1,697 solutions

*

Transcript

-
00:01 Hello students, today we will discuss about this question.
00:04 In this question, we need to find when a statistical inference is performed, statistical inference is performed.
00:21 The sampling distribution sometimes follow a normal distribution and sometimes takes the form of a t distribution.
00:31 So what is the normal distribution appropriate? and when is the t distribution appropriate.
00:40 So here we need to find whether when the normal distribution appropriate and when the t distribution will appropriate...
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