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In This Topic
Confidence interval (CI)
Formula
Notation
| Term | Description |
|---|---|
 | sample mean |
| t α/2 | inverse cumulative probability of a t distribution with n-1 degrees of freedom at 1-α/2 |
| α | 1 – confidence level/100 |
| s | sample standard deviation |
| n | sample size |
T-value
Formula
Notation
| Term | Description |
|---|---|
 | sample mean |
| μ 0 | hypothesized population mean |
| s | sample standard deviation |
| n | sample size |
P-value
Formula
The calculation for the p-value depends on the alternative hypothesis.
| Alternative Hypothesis | P-value |
|---|---|
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Notation
| Term | Description |
|---|---|
| μ | population mean |
| μ0 | hypothesized population mean |
| t | t-statistic of the sample data |
| tn-1 | a random variable from the t-distribution with n-1 degrees of freedom |
| n | sample size |
