14 Samples and Sampling Distribution Flashcards
Inferential stats
Make statements about the population that are based on an analysis of the sample data
With replacement samples
Get the first variable, measure and release it, and draw the second
What is true of with replacement samples?
They are independent
How do you work out the sample mean
Work out the mean for each individual sample
Sample statistic
Any function of the observations, it is a random variable
Sampling distribution
A probability distribution of all the possible values of a sample statistic obtained from all possible samples of the same number of observations drawn from the population
Population parameters
Fixed values related to a particular population or probability distribution
What is the expected value of the sample mean
Mu, the population mean
What is the variance of the sample mean
Population variance/n
What is the sum of independent random variables equal to?
A normal random variable
Central limit theorem
Shows that the sample mean of a random sample of n observations drawn from a population with any probability distribution will be approximately distributed if n is large
Lead of large numbers
Given a random sample size of n taken from a population mean, the sample mean will approach the population mean as n increases, regardless of the underlying probability distribution