General

Point Estimate

A specific numerical value estimate of a parameter. The best point estimate of the population mean μ is the sample mean x̄.

 

Interval Estimate

An interval or a range of values used to estimate the parameter.

 

Confidence Interval (CI)

A range of values constructed from sample data so that parameter occurs within that range at a specified probability. The specified probability is called the level of confidence.

 

Maximum error of estimate

The maximum likely difference between the point estimate of a parameter and the actual value of the parameter.

Minimum sample size needed for an interval estimate of the population mean, when n ≥ 30.

 

Situation

n ≥ 30 n < 30
σ known
n < 30
σ unknown

Test

Z

Z

t

CI

 

When testing for = or ≠, α need to be divided by 2.

Thus, Zα/2 are used. Otherwise, use Zα.

If σ is unknown, replace by s.

 

Interval Estimate

An interval or a range of values used to estimate the parameter.

 

Interval Estimate

An interval or a range of values used to estimate the parameter.

 

Interval Estimate

An interval or a range of values used to estimate the parameter.