T Distribution Calculator

This T Distribution Calculator helps users determine the T-Value, Margin of Error, Standard Error, and the Confidence Interval for a given sample dataset based on input parameters such as degrees of freedom, confidence level, sample mean, standard deviation, and sample size.

Use Our T Distribution Calculator

Using the T Distribution Calculator

Overview

This T Distribution Calculator helps you to calculate the T-Value, margin of error, confidence interval, and the standard error of a given sample. By providing specific sample details, you can quickly obtain these statistical measures.

Step-by-step Guide

Step 1: Enter the Degrees of Freedom

  • Locate the input field with the label ‘Degrees of Freedom’.
  • Input the product of sample size minus one (n – 1). This is a required field, and the value must be a whole number greater than or equal to 1.

Step 2: Select the Confidence Level

  • Find the dropdown labeled ‘Confidence Level’.
  • Select your desired confidence level from the available options. These options include 90%, 95%, 97.5%, 99%, and 99.5%. This selection is mandatory.

Step 3: Input the Sample Mean

  • Enter the value for ‘Sample Mean’ in the respective input field. This is the average of your sample data and is a required field.

Step 4: Enter the Sample Standard Deviation

  • Provide the ‘Sample Standard Deviation’. This measures the amount of variation or dispersion in your sample.
  • The value must be non-negative, and entering this is required.

Step 5: Input the Sample Size

  • Enter the ‘Sample Size’, which is the total number of data points in your sample.
  • This needs to be a whole number, at least 2, and is a required input for accurate calculations.

Step 6: Review Calculated Results

Once all inputs are provided, the calculator will automatically generate the results. Below are the fields you will see:

  • T-Value: This is calculated as sqrt(sampleSize) * (sampleMean) / sampleStdDev.
  • Margin of Error: Calculated using tValue * (sampleStdDev / sqrt(sampleSize)).
  • Confidence Interval Lower Bound: Found by sampleMean – marginOfError.
  • Confidence Interval Upper Bound: Found by sampleMean + marginOfError.
  • Standard Error: Computed as sampleStdDev / sqrt(sampleSize).

These fields will reveal the T distribution characteristics of your sample with precision to four decimal places, aiding in statistical analysis and hypothesis testing.