Create an account
a probability distribution for all possible values of the statistic as computed from a sample of size n
sampling distribution of the sample mean
the probability distribution of all possible values of the random variable x̄ computed from a sample size n from a population with mean µ and standard deviation σ
standard error of the mean
the standard deviation of the sampling distribution of x̄; σ-sub-x̄ = σ/√n
central limit theorem
regardless of the shape of the underlying population, the sampling distribution of x̄ becomes approximately normal as the sample size, n, increases
p̂ = x/n where x is the number of individuals in the sample with the specified characteristic. The sample proportion, p̂, is a statistic that estimates the population proportion, p.
sampling distribution of p̂
For a simple random sample of size n with a population proportion p,
1. The shape of the sampling distribution of p̂ is approximately normal provided np(1 - p) ≥ 10
2. The mean of the sampling distribution of p̂ is µ-sub-p = p
3. The standard deviation of the sampling distribution of p̂ is
σ-sub-p = √[(p(1 - p))/n]
Please allow access to your computer’s microphone to use Voice Recording.
Having trouble? Click here for help.
We can’t access your microphone!
Click the icon above to update your browser permissions and try again
Reload the page to try again!Reload
Press Cmd-0 to reset your zoom
Press Ctrl-0 to reset your zoom
It looks like your browser might be zoomed in or out. Your browser needs to be zoomed to a normal size to record audio.
Please upgrade Flash or install Chrome
to use Voice Recording.
For more help, see our troubleshooting page.
Your microphone is muted
For help fixing this issue, see this FAQ.
Star this term
You can study starred terms together