T Test Calculator
The T-test calculator is used to compare the means of two groups. It helps to check if the difference between means is real or just due to chance. This calculator returns the t-statistics, degrees of freedom, p-value, confidence interval, and a clear decision to reject or fail to reject the null hypothesis.
T-Test Calculator
Perform one-sample, two-sample, and paired t-tests
How to Use
- Fill in the Required Values
- Click "Calculate" Button
- View Step-By-Step Solution
What is a T-test?
A t-test compares averages (means) and tells you whether any difference is likely to be real. It is widely used in statistics, research, A/B testing, education, and healthcare.
How to use the T-test calculator?
- Select the test type from the drop-down list: One-sample T-test, Two-sample T-test (equal variances), Two-sample T-test (unequal variances), Paired t-test.
- Enter sample 1 data separated by commas.
- Enter sample 2 data separated by commas.
- Enter population mean.
- Choose a significance level from the drop-down list: 0.05 (95% confidence), 0.01 (99% confidence), 0.10 (90% confidence).
- Choose an alternative hypothesis from the drop-down list: Two-tailed, Right tailed, Left-tailed.
- After entering the values, click “Calculate”, and in seconds, you will see the result.
Examples
One-sample t-test
Sample: 48, 52, 50, 49, 53, 51 | Population mean: 50 | Alternative: Two-tailed | Significance: 0.05
- T-statistic: 0.655
- P-value (two-tailed): 0.532
- Decision (α = 0.05): Fail to reject H0
Two-sample t-test (equal variances)
Sample 1 = 22, 25, 27, 23, 26 | Sample 2 = 18, 21, 19, 20, 22 | Alternative = Right tailed | Significance = 0.05
- T-statistic: 3.944
- P-value (two-tailed): 0.00213
- Decision (α = 0.05): Reject H0
Two-sample t-test (unequal variances)
Sample 1: 5.1, 5.4, 5.0. 5.3, 5.2 | Sample 2: 4.6, 4.8, 4.7, 4.9, 4.5, 4.6 | Alternative = two-tailed | Significance = 0.01
- T-statistic: 5.5678
- P-value (two-tailed): 0.0004513
- Decision (α = 0.01): Reject H0
Paired t-test
Sample 1: 72, 65, 70, 68, 74 | Sample 2: 75, 67, 73, 70, 77 | Alternative: right tailed | Significance = 0.05
- T-statistic: 10.615
- P-value (two-tailed): 0.000223
- Decision (α = 0.05): Reject H0
Why use the MathCalc T-test calculator?
Get Quick Results
If you are finding a one-sample t-test, a two-sample t-test, or a paired t-test by hand, it can be time-consuming, especially when dealing with large numbers. This free MathCalc T-test calculator gives you an accurate result in seconds.
Example: Example: Sample = 48, 52, 50, 49, 53, 51 | Population mean: 50 | Alternative: Two-tailed | Significance = 0.05 → Result: T-statistic = 0.655, P-value = 0.542, Decision: Fail to reject H0.
Reduce Human Error
Manual math can lead to minor mistakes that cost you money or points. This tool provides proven formulas to reduce errors, and your results are always right.
Example: Example: Sample1 = 22, 25, 27, 23, 26 | Sample2 = 18, 21, 19, 20, 22 | Alternative = Right-tailed | Significance = 0.05 → Result: T-statistic = 3.944, P-value = 0.0021, Decision: Reject H0.
User-Friendly
This free t-test calculator calculates one-sample t-test, two-sample t-test, or paired t-test in one calculator. This calculator is helpful for students and teachers.
FAQ
How should I format my data?
Type numbers only, separated by commas. For example: 10,12,20,22
What is the difference between equal and unequal variances?
If the two groups have similar spreads, use equal variances. If the spreads or sizes differ a lot, choose unequal variances.
What does two-tailed vs one-tailed mean?
Two-tailed checks for any difference. Left-tailed checks if mean1 < mean2. Right-tailed checks if mean1 > mean2.