Sample Size Formula
Requires a Wolfram Notebook System
Interact on desktop, mobile and cloud with the free Wolfram Player or other Wolfram Language products.
This Demonstration calculates the sample size (an integer) that produces a sample mean within the given margin of error. For a confidence level of 
, 
is the 
quantile of a standard normal distribution.
Contributed by: David Gurney (March 2011)
Open content licensed under CC BY-NC-SA
Snapshots
Details
The minimum sample size formula can be found in most elementary statistics texts. The formula appears in M. Sullivan, Fundamentals of Statistics, 2nd ed., Upper Saddle Creek, NJ: Pearson Education, Inc., 2008 p. 414.
Permanent Citation
"Sample Size Formula"
http://demonstrations.wolfram.com/SampleSizeFormula/
Wolfram Demonstrations Project
Published: March 7 2011
Distribution of Normal Means with Different Sample Sizes
David Gurney
Calculating Sample Size
Daniel de Souza Carvalho
Impact of Sample Size on Approximating the Uniform Distribution
Paul Savory (University of Nebraska-Lincoln)
Impact of Sample Size on Approximating the Triangular Distribution
Paul Savory (University of Nebraska-Lincoln)
Impact of Sample Size on Approximating the Normal Distribution
Paul Savory (University of Nebraska-Lincoln)
Distribution of the Means of Samples Having Random Sizes
Mark D. Normand, Joseph Horowitz, and Micha Peleg
Central Limit Theorem Applied to Samples of Different Sizes and Ranges
Mark D. Normand and Micha Peleg
Sampling Distribution of the Sample Mean
Jim R Larkin
Estimating the Size of a Population
Heikki Ruskeepää
Power Analysis for a Two-Sample t-Test
Philip Bontrager
