One-sample t-test
- Input
- Values: 1, 2, 3, 4, 5 against null mean 0.
- Method
- Compare the sample mean to the null value using the sample standard error.
- Formula
- t = (xbar - mu0) / (s / sqrt(n))
- Intermediate steps
- xbar = 3
- s = 1.5811
- standard error = 0.7071
- Final result
- t is positive because the sample mean is above the null value.
- Interpretation
- The p-value is evaluated against the selected alpha and alternative hypothesis.
- Limitation
- The calculation assumes independent observations and an appropriate t-test model.