'The law of large numbers states that as the number of observations drawn at random from population with finite mean / increases, the mean x of the observed values: gets smaller and smaller: fluctuates steadily between standard deviation above and standard deviation below the mean. tends to get closer and closer to the population mean / gets larger and larger:'
Added by Emily H.
Step 1
As the number of observations drawn at random from a population with finite mean increases, we are essentially increasing the sample size. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Adi S and 97 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
The law of large numbers tells us that as sample size n increases: - the sample mean approaches the population mean. - the sample standard deviation approaches σ/√n. - the sample standard deviation approaches σ/√n, and the sample mean approaches the population mean.
Christopher D.
Since the population is always larger than the sample, the population mean: a. is smaller than, or larger than the sample mean b. None of the suggested answers are correct c. is always smaller than the sample mean d. is always larger than the sample mean e. is always larger than or equal to or smaller than or equal to the sample mean
Krishna G.
The central limit theorem says that if the sample size is large enough: the distribution of the sample mean gets closer to being shaped like a Normal distribution. the sample mean gets closer to the population mean.
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