Returns the two-tailed Student's t-distribution.

The Student's t-distribution is used in the hypothesis testing of small sample data sets. Use this function in place of a table of critical values for the t-distribution.

Syntax

T.DIST.2T(x,deg_freedom)

The T.DIST.2T function syntax has the following arguments:

  • X     Required. The numeric value at which to evaluate the distribution.

  • Deg_freedom     Required. An integer indicating the number of degrees of freedom.

Remarks

  • If any argument is nonnumeric, T.DIST.2T returns the #VALUE! error value.

  • If deg_freedom < 1, T.DIST.2T returns the #NUM! error value.

  • If x < 0, then T.DIST.2T returns the #NUM! error value.

Example

Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.

Data

Description

1.959999998

Value at which to evaluate the distribution

60

Degrees of freedom

Formula

Description (Result)

Result

=T.DIST.2T(A2,A3)

Two-tailed distribution (0.054645, or 5.46 percent)

5.46%

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