One-Sample t-Score Calculator
One-sample t-score calculator
Compute one-sample t statistic from sample mean, hypothesized mean, sample SD, and sample size.
Result
t = 1.935483871
Uses t = (x̄ - μ0) / (s / sqrt(n)).
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Advanced options
Flow
- Enter sample mean, hypothesized population mean, sample standard deviation, and sample size.
- Compute t statistic.
- Use t value with degrees of freedom n-1 in your test table or software.
Example
Worked example: x̄=52.4, μ0=50, s=6.2, n=25
- 1 Compute standard error s/sqrt(n).
- 2 Subtract hypothesized mean from sample mean.
- 3 Divide difference by standard error.
t statistic is approximately 1.94.
How
- Enter sample mean, hypothesized population mean, sample standard deviation, and sample size.
- Compute t statistic.
- Use t value with degrees of freedom n-1 in your test table or software.
Avoid
- Using population standard deviation instead of sample SD.
- Using n=1 or non-integer sample size.
Checks
Best fit
One-Sample t-Score Calculator is built for compute one-sample t statistic from sample summary statistics. If One-Sample t-Score Calculator does not match the input scope, compare the answer with a second method.
Input check
Match the entered values to this rule before copying the answer: t = (x̄ - μ0) / (s / sqrt(n)).
Sanity check
For One-Sample t-Score Calculator, use the worked example as a quick benchmark: T statistic is approximately 1.94. If the one-sample t-score calculator answer is far away, check whether an input, unit, or mode changed.
Before copying
Review this common issue first: using population standard deviation instead of sample sd.
FAQ
Is this a full hypothesis test?
It returns test statistic only. You still need p-value or critical-value comparison.
Why require n at least 2?
One-sample t statistic needs variance estimate from at least two observations.
Can this replace software output?
It is useful for validation and quick checks, not full statistical reporting workflow.
Switch
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No match.