How this calculation works
Estimate the plausible range of one new observation from a normal population.
THE FORMULA
Prediction bounds=x̄±t* s√(1+1/n)A worked example
With mean 10, SD 2, n=25 and 95% confidence, the bounds are about 5.79 and 14.21.
Good to know
The new observation must be independent and from the same population.
Reference: OpenStax Introductory Statistics (opens in a new tab) ↗
Read the result
Estimate the plausible range of one new observation from a normal population.
The primary result is labeled “Lower prediction bound”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The new observation must be independent and from the same population.
For a related exercise, try the statistics calculator.
A few questions, answered
How can I check the default inputs by hand?
With mean 10, SD 2, n=25 and 95% confidence, the bounds are about 5.79 and 14.21.
Which rule does this calculator apply?
Prediction bounds=x̄±t* s√(1+1/n)