# CONFIDENCE.T

The CONFIDENCE.T function calculates the confidence interval for a Student's t-distribution. It is commonly used in statistics to estimate the range within which the true population parameter is likely to fall.

## Syntax

=CONFIDENCE.T(`alpha`

, `standard_dev`

, `size`

)

`alpha` | The significance level used to compute the confidence level. It represents the probability that the true value lies within the confidence interval. |

`standard_dev` | The standard deviation of the population. |

`size` | The sample size used to estimate the population parameter. |

## About CONFIDENCE.T

When you need to gauge the range of uncertainty surrounding a sample mean and desire a reliable method for ascertaining the confidence interval, look to CONFIDENCE.T in Excel. This function serves as a valuable tool in statistical analysis, offering a means to estimate the likely interval within which the true population parameter resides. Whether delving into research, surveys, or hypothesis testing, CONFIDENCE.T equips you with a vital statistical measure paramount to informed decision-making and analysis of data.

## Examples

Suppose you have a sample of 100 observations with a standard deviation of 10. You want to calculate the 95% confidence interval for the population mean. The CONFIDENCE.T formula would be:

=CONFIDENCE.T(0.05, 10, 100)

This will return the margin of error for the confidence interval at the 95% confidence level.

## Questions

**How does the CONFIDENCE.T function assist in statistical analysis?**

The CONFIDENCE.T function aids in statistical analysis by providing a means to estimate the confidence interval for the population parameter, offering insights into the likely range within which the true parameter lies with a specified level of confidence.

**What is the significance of the alpha argument in the CONFIDENCE.T function?**

The alpha argument in the CONFIDENCE.T function represents the significance level used to compute the confidence level. It denotes the probability that the true value falls within the confidence interval. A common choice is 0.05, indicating a 95% confidence level.

**Can CONFIDENCE.T be used for small sample sizes?**

Yes, CONFIDENCE.T can be used for small sample sizes. However, smaller sample sizes may result in wider confidence intervals, reflecting the greater uncertainty in estimating the population parameter.

**How is the confidence level determined in the CONFIDENCE.T function?**

The confidence level is determined by 1 - alpha. For example, if alpha is 0.05, the confidence level is 95%, indicating the level of confidence in the resulting interval estimate.

## Related functions

CONFIDENCE.NORM

CONFIDENCE.T.INV

NORM.S.INV

T.INV