CONFIDENCE

The CONFIDENCE function returns a value for creating a statistical confidence interval for a sample from a population with a known standard deviation. All arguments are number values.

CONFIDENCE(alpha, stdev, sample-size)

alpha: The probability that the true population value lies outside the interval. alpha must be greater than 0 and less than 1. Subtracting the confidence interval from 1 yields the alpha.

stdev: The standard deviation of the population. stdev must be greater than 0.

sample-size: The size of the sample. sample-size must be greater than 0.

Notes

Examples

=CONFIDENCE(0.05, 1, 10) returns 0.619795032304561. If the mean of the sample values is 100, then with 95% confidence the population mean falls in the range 99.38–100.62.

=CONFIDENCE(0.1, 1, 10) returns 0.520148387875558. If the mean of the sample values is 100, then with 90% confidence the population mean falls in the range 99.48–100.52.

=CONFIDENCE(0.05, 1, 20) returns 0.438261270288291.

=CONFIDENCE(0.05, 1, 30) returns 0.357838828743431.

=CONFIDENCE(0.05 ,1, 40) returns 0.309897516152281.

See also
STDEV