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Data Source and Methodology
All calculations are based rigorously on the formulas provided by authoritative statistical sources.
The Formula Explained
\( t = \frac{\bar{x} - \mu}{s / \sqrt{n}} \)
Glossary of Variables
- Sample Size (n): The number of observations in the sample.
- Mean (\(\bar{x}\)): The average value of the sample.
- Standard Deviation (s): A measure of the amount of variation or dispersion in a set of values.
How It Works: A Step-by-Step Example
Imagine you have a sample size of 30, a mean of 5, and a standard deviation of 1.2. Using the formula, the t-value is calculated as shown.
Frequently Asked Questions (FAQ)
What is a T-Test?
A T-Test is a statistical test used to compare the means of different groups.
When should I use a T-Test?
Use a T-Test when you want to determine if there is a significant difference between the means of two groups.
What does a T-Test calculate?
It calculates the probability that the observed data would occur by random chance under the null hypothesis.
What are the assumptions of a T-Test?
Normal distribution of data, homogeneity of variance, and interval data.
Can I use a T-Test for non-parametric data?
No, T-Tests assume that the data follows a normal distribution.