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statistical inference

provides methods for drawing conclusions about a population from sample data

confidence interval

uses sample data to estimate an unknown population paramater with an indication of how accurate the estimate is and of how confident we are that the result is correct , estimate±margin of error

confidence level C

gives the probability that the interval will capture the true parameter value in repeated samples. That is, the confidence level is the success rate for the method.

Conditions for constructing a confidence interval for µ

the data comes from SRS, the sampling distribution is normal, individual observations are independent


N ≥ 10n

what determines margin of error?

sample size

standard error

the result of when the standard deviation of a statistic is estimated from the data

degree of freedom


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