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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