General Notes
aka: 1-sample t-Test, Single Sample t-Test
Hypotheses: H0: mu = mu0 Ha: mu <> mu0 (two-sided hypothesis)
Ha: mu > mu0 or Ha: mu < mu0 (one-sided alternatives)
Test statistic: t statistic
P-value: the one- or two-tailed probability of a t-value at least as large in absolute value as the observed
Conclusion: Report P-value; reject H0 at alpha level if P <= alpha.
Also recommend reporting the standard error and the interval estimate.
For an example of a nonparametric equivalent, see Wilcoxon Signed Rank Test for One Sample
Assumptions
A random sample is selected.
The variable is quantitative and has a normal population distribution.
References