T-Test Calculator (One Sample)
Test whether a sample mean significantly differs from a hypothesized population mean.
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Uses the Student’s t-distribution. Appropriate when population variance is unknown.
Example
Sample mean = 48
Hypothesized mean = 50
Sample standard deviation = 6
Sample size = 25
t = −1.67 → Fail to reject H₀ at α = 0.05
Hypothesized mean = 50
Sample standard deviation = 6
Sample size = 25
t = −1.67 → Fail to reject H₀ at α = 0.05
What is a one-sample t-test?
A one-sample t-test evaluates whether the mean of a single sample differs significantly from a known or hypothesized population mean.
When should you use a t-test?
T-tests are used when the population standard deviation is unknown and the sample size is relatively small.
Frequently Asked Questions
What is the difference between Z-test and T-test?
Z-tests assume a known population variance, while T-tests estimate variance from the sample.
Does sample size affect the t-test?
Yes. As sample size increases, the t-distribution approaches the normal distribution.