Excel CONFIDENCE.T function
The CONFIDENCE.T function uses a student’s distribution to calculate the confidence interval for a population mean.
To learn more about the Student’s Distribution
, you can visit this page
To learn more about the Confidence Interval
, you can visit this page
Note: This CONFIDENCE.T function is only available in Excel 2010 and later versions.
=CONFIDENCE.T(alpha, standard_dev, size)
Alpha (required): The significance level used to calculate the confidence level, which equals to 1 – confidence level. A significance level of 0.05 equals to a confidence level of 95%.
Standard_dev (required): The population standard deviation for the data range.
Size (required): The sample size.
1. The #NUM! error occurs if either of the following condition is meet:
-- "Alpha" ≤ 0 or ≥ 1;
-- "Standard_dev" ≤ 0.
2. The #DIV/0! error occurs if “size” = 1;
2. The #VALUE! error occurs when any argument is non-numeric;
4. If “size” is not an integer, it will be truncated;
5. As the confidence interval is a range of values, to calculate the confidence interval for a population mean, the confidence value returned by the CONFIDENCE.NORM function should be added to, and subtracted from the sample mean.
Confidence Interval = Sample Mean ± CONFIDENCE
It returns a numeric value.
Supposing there is a list of values in the range B6:B16, to calculate the confidence interval for the population mean using a student's distribution, you need to do as follows.
Firstly, you need to provide the significance level (usually be 0.05, which equals to a confidence level of 95%), the standard deviation, the sample size, and the sample mean for the data range.
In cell E7, apply the following formula to calculate the population standard deviation for the data range.
In cell E8, apply the following formula to calculate the sample size.
In cell E9, apply the following formula to calculate the sample mean.
1. Here we calculate the confidence value. Select a cell, for example E11, enter the formula below and press the Enter key to get the result.
As the interval is generally defined by its lower and upper bounds. The next steps will calculate the lower and upper bounds of the confidence interval.
2. Select a cell (say E12) to output the upper bound, enter the formula below and press the Enter key.
2. Select a cell (say E13) to output the lower bound, enter the formula below and press the Enter key.
Therefore, the confidence level is equal to 86.6765346 to 72.4143745.
Excel CHISQ.INV function
The CHISQ.INV function calculates the inverse of the left-tailed probability of the chi-squared distribution.
Excel CHISQ.INV.RT function
The CHISQ.INV.RT function calculates the inverse of the right-tailed probability of the chi-squared distribution.
Excel CHISQ.TEST function
The CHISQ.TEST function calculates the chi-squared distribution of two provided data sets (the observed and expected frequencies.
Excel CONFIDENCE.NORM function
The CONFIDENCE.NORM function uses a normal distribution to calculate the confidence interval for a population mean.
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