For the t distribution with 48 degrees of freedom:
a. The cutoff 1.645 leaves how much probability in the upper tail?
b. The cutoff 1.96 leaves how much probability in the upper tail?
c. The cutoff 2.567 leaves how much probability in the upper tail?
d. How do these compare with the corresponding upper tail probabilities from the standard normal?
e. How do these compare with the corresponding upper tail probabilities from the t distribution with 35 degrees of freedom?