For each of the following situations, calculate the \(t\)-statistic \((t)\) :

a. \(\mathrm{X}^{-}=4.00 ; \mu=5 ; s=3.00 ; N=36\)

b. \(\mathrm{X}^{-}=1.50 ; \mu=1.25 ; s=.75 ; N=25\)

c. \(\mathrm{X}^{-}=16.21 ; \mu=15 ; s=3.23 ; N=46\)

d. \(\mathrm{X}^{-}=8.26 ; \mu=6.31 ; s=3.71 ; N=12\)

e. \(\mathrm{X}^{-}=93.70 ; \mu=99.80 ; s=8.16 ; N=21\)