T test
Not a large sample
Population is normal
standard deviation not known
Then it is a t test
Z test
If sample is large then it’s a t test but,
if population is not large however,
Population is normal and sd is known then it is a z test
Sign test
small sample
population not known
population is not symmetrical
Then it is a Z test
Wilcoxon signed rank
Sample is small
Population is not normal
Population is symmetrical
Then it’s a wilcoxon signed rank test