# CONFIDENCE.T Function in Excel

CONFIDENCE.T Function in Excel returns the value that you can use to construct the confidence interval for a population mean.  CONFIDENCE.T Function uses Student’s T-Distribution to calculate a confidence value.

#### Syntax of CONFIDENCE.T Function in Excel:

CONFIDENCE.T( alpha, standard_dev, size )

where the arguments are as follows:

• alpha – probability value between 0 and 1, it is also known as significance level (= 1 – confidence level). Usually alpha will be 0.05 which equates to a confidence level of 95%.
• standard_dev – The standard deviation of the population.
• size –              The population sample size.

The output value of CONFIDENCE.T function i.e. confidence value should be added to and subtracted from the sample mean to calculate the confidence interval.

Confidence Interval = Sample Mean ±   CONFIDENCE Value

#### Example of CONFIDENCE.T Function in Excel:

##### Formula

• Confidence value is calculated by passing alpha, standard deviation and population size to the CONFIDENCE.T Function in Excel as shown in First example.
• Sample mean is calculated in the second row.

Now we need have mean and confidence value. So we need to calculate the confidence interval using formula

Confidence Interval = Sample Mean ±   CONFIDENCE Value

• Sample mean+ confidence value is called upper bound of confidence interval. Which is calculated in Third row as shown above
• Sample mean – confidence value is called lower bound of confidence interval Which is calculated in Fourth row as shown above

So the result will be

##### Result

95 % confidence interval of sample mean for the above set of values is 55.6667± 5.5429 which ranges from 50.1237 to 61.2096.