a statistic from a random sample or randomized experiment is a random variable; the probability distribution of the statistic is its ~
distribution of its values for all members of the population; is also the probability distribution of the variable when we choose one individual at random from the population
Sample means are _____ variable than individual observations.
Sample means are ____ more Normal than individual observations.
List the facets of the binomial setting.
1. fixed number of observations n 2. observations n are independent 3. each observation falls into one of just two categories; -> "success" and "failure" 4. the probability for each success, call it p, is the same for each observation
distribution of the count X of successes in the binomial setting; with parameters n and p; B(n,p)
What are the possible values of X in the binomial setting?
whole numbers from 0 to n
When are binomial distributions important in statistics?
when we wish to make inferences about the proportion p of "successes" in a population