use the information to give a 95% confidence interval . What is the confidence interval?
Added by Adam D.
Step 1
For this example, let's assume we are dealing with a sample mean and standard deviation from a normal distribution. Given Data: - Sample mean (\(\bar{x}\)) = 10 - Sample standard deviation (\(s\)) = 2 - Sample size (\(n\)) = 100 Steps to Calculate the 95% Show more…
Show all steps
Close
Your feedback will help us improve your experience
Ivan Kochetkov and 96 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
What is 95% confidence interval?
Ivan K.
4. 95% Confidence Interval (95% CI) The sample mean is an estimate of the population mean. How good an estimate? Based on your sample, you can estimate the range of values (or interval) likely to contain the actual population mean. This range is called the confidence interval. You can calculate the confidence interval at different confidence levels. The 95% confidence interval tells you that if you collected many samples from the same population, the population mean would be within the 95% confidence interval for each sample 95% of the time. In this lab we will calculate 95% CI as 2 !! SE‾ₓ. Note that this is just an approximation of the actual formula. 95% CI = 2 !! SE‾ₓ = 2 !! 0.75 = 1.5
Adi S.
What is meant by the $95 \%$ confidence interval of the mean?
Confidence Intervals and Sample Size
Confidence Intervals for the Mean When ls Known
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD