1-Sample t
The 1-Sample t conducts a hypothesis test of the mean based on sampled data when the population standard deviation, s is unknown. It also calculates a confidence interval of the mean. This procedure is based on the t-distribution which is derived from a normal distribution. It is more conservative than the Z-test for smaller sample sizes or when s is unknown.
Test | Null Hypothesis, H0 | Alternate Hypothesis, H1 |
One-tailed | μ = μ0 | μ < μ0 or μ > μ0 |
Two-tailed | μ = μ0 | μ ≠ μ0 |
where μ is the population mean and μ0 is the hypothesised population mean