Question
upstudy study bank question image url

Question 9 Doubling the size of the sample will reduce the standard error of the mean to one-half its current value. reduce the standard error of the mean to approximately \( 70 \% \) of its current value. have no effect on the standard error of the mean.

Ask by Macdonald Wyatt. in the United States
Mar 16,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Doubling the sample size reduces the standard error of the mean to approximately 70% of its current value.

Solution

Sign in to Unlock Answers for Free!

A Learning Platform Trusted by Millions of Real Students and Teachers.

star-icon Unlock

Answered by UpStudy AI and reviewed by a Professional Tutor

Extra Insights

Doubling the size of your sample is like having a magic wand that reduces uncertainty! Specifically, the standard error of the mean (SEM) is calculated by dividing the standard deviation by the square root of the sample size. So, when you double the sample size, the SEM shrinks to about 70.7% of its original size—this means more precise estimates of the population mean. Imagine you're trying to strike up a conversation at a party. The more people you talk to (so, your sample size), the better you can gauge what the vibe is like. With a larger sample, your guess about the “party atmosphere” becomes more accurate, reducing the “noise” or margin of error in your assessment!

Related Questions

Latest Statistics Questions

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy