Suppose you have selected a random sample of $n = 5$ measurements from a normal distribution. Compare the standard normal $z$ values with the corresponding $t$ values if you were forming the following confidence intervals.

(a) $\ $ $95$% confidence interval
$z =$
$t =$

(b) $\ $ $80$% confidence interval
$z =$
$t =$

(c) $\ $ $99$% confidence interval
$z =$
$t =$