# T.DIST.RT

The `T.DIST.RT` function returns the right-tailed Student's t-distribution of a given value, given the degrees of freedom. It is commonly used in hypothesis testing to determine the probability of observing a value as extreme or more extreme than a test statistic under the null hypothesis.

## Usage

Use the `T.DIST.RT` formula with the syntax shown below, it has 2 required parameters:

Parameters:
1. x (required):
The numeric value at which to evaluate the distribution.
2. degrees_freedom (required):
The degrees of freedom for the distribution. Must be a positive integer.

## Examples

Here are a few example use cases that explain how to use the `T.DIST.RT` formula in Google Sheets.

### Testing for significance

The T.DIST.RT function can be used to calculate the p-value for a one-sample t-test or a paired t-test in order to determine if the results are statistically significant.

### Quality control

In quality control applications, the T.DIST.RT function can be used to calculate the probability of observing a sample mean that is more extreme than a given value, which can help identify potential issues in a manufacturing process.

### Investment analysis

The T.DIST.RT function can be used in investment analysis to calculate the probability of a portfolio's returns falling below a certain threshold, which can help investors manage risk.

## Common Mistakes

`T.DIST.RT` not working? Here are some common mistakes people make when using the `T.DIST.RT` Google Sheets Formula:

### Not using the right degrees of freedom

Make sure you are using the correct degrees of freedom for your situation, as using the wrong degrees of freedom can significantly affect the results of the calculation.

### Not understanding the output value

Remember that `T.DIST.RT` returns the right-tailed probability, so you may need to subtract the result from 1 to get the left-tailed probability or use a different formula entirely if you need a two-tailed probability.

The following functions are similar to `T.DIST.RT` or are often used with it in a formula:

• `T.DIST`

The `T.DIST` function returns the probability of a Student's t-distribution with a specified degrees of freedom. This function is usually used in hypothesis testing to determine the probability that a sample mean is within a specified range of values.

• `T.DIST.2T`

The `T.DIST.2T` function returns the two-tailed probability of the Student's t-distribution. This function is commonly used in hypothesis testing to determine if two sets of data have different means. It is also used in confidence interval estimation, where it calculates the probability that the difference between two population means falls within a specified range.

• `T.INV`

The `T.INV` function returns the inverse of the Student's t-distribution for the provided probability and degrees of freedom. This function is commonly used to calculate a critical value from the t-distribution when working with small sample sizes.

• `T.TEST`

The `T.TEST` function calculates the probability associated with a Student's t-test. This function is commonly used in statistics to determine whether two samples are likely to have come from the same two underlying populations that have the same mean. It returns the probability that the two samples are different. The function assumes that the two samples are independent of each other and have equal variances.

You can learn more about the `T.DIST.RT` Google Sheets function on Google Support.