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CONFIDENCE.T

  • Article

Returns the confidence interval for a population mean, using a Student's t distribution.

Syntax

CONFIDENCE.T(alpha,standard_dev,size)

Parameters

Term Definition
alpha The significance level used to compute the confidence level. The confidence level equals 100*(1 - alpha)%, or in other words, an alpha of 0.05 indicates a 95 percent confidence level.
standard_dev The population standard deviation for the data range and is assumed to be known.
size The sample size.

Return value

Returns the confidence interval for a population mean, using a Student's t distribution.

Remarks

  • If any argument is nonnumeric, CONFIDENCE.T returns the #VALUE! error value.

  • If alpha ≤ 0 or alpha ≥ 1, CONFIDENCE.T returns the #NUM! error value.

  • If standard_dev ≤ 0, CONFIDENCE.T returns the #NUM! error value.

  • If size is not an integer, it is rounded.

  • If size equals 1, CONFIDENCE.T returns #DIV/0! error value.

  • This function is not supported for use in DirectQuery mode when used in calculated columns or row-level security (RLS) rules.

Example

Formula Description Result
= CONFIDENCE.T(0.05,1,50) Confidence interval for the mean of a population based on a sample size of 50, with a 5% significance level and a standard deviation of 1. This is based on a Student's t-distribution. 0.284196855