## Excel T.INV.2T Function

The T.INV.2T function returns the inverse of Student's two-tailed t-distribution. The t-distribution is frequently used in testing hypotheses on small sample data sets.

Note: The T.INV.2T function was introduced in Excel 2010. So, it is not available in earlier versions of Excel.

#### Syntax

=T.INV.2T(probability, deg_freedom)

#### Arguments

• probability (required): The probability for which you want to evaluate the inverse of the two-tailed Student's T Distribution. Note: probability must be between 0 and 1.
• deg_freedom (required): An integer indicating the number of degrees of freedom. Note: deg_freedom must be ≥ 1.

#### Return Value

The T.INV.2T function returns a numeric value.

#### Function Notes

• If deg_freedom is not an integer, it will be truncated.
• T.INV.2T returns the #VALUE! error if probability or deg_freedom is non-numeric.
• T.INV.2T returns the #NUM! error if:
• probability ≤ 0 or probability > 1;
• deg_freedom < 1.

#### Example

To calculate the two-tailed inverse of the Student's t distribution with a probability of 68% and 2 degrees of freedom, please copy or enter the formula below in the result cell, and press Enter to get the result.

=T.INV.2T(B7,B10)

Also, you can type the actual probability and deg_freedom values in the formula as shown below.

=T.INV.2T(0.68,2)

#### Related functions

Excel T.INV Function

The T.INV function returns the inverse of Student's left-tailed t-distribution. The t-distribution is frequently used in testing hypotheses on small sample data sets.

Excel T.DIST Function

The T.DIST function returns the Student's left-tailed t-distribution. The t-distribution is frequently used in testing hypotheses on small sample data sets.

Excel T.DIST.RT Function

The T.DIST.RT function returns the Student's right-tailed t-distribution. The t-distribution is frequently used in testing hypotheses on small sample data sets.

Excel T.DIST.2T Function

The T.DIST.RT function returns the Student's two-tailed t-distribution. The t-distribution is frequently used in testing hypotheses on small sample data sets.

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