Determine thet-value in each of the cases.

(a) Find thet-value such that the area in the right tail is 0.25 with 29 degrees of freedom.

(b) Find thet-value such that the area in the right tail is 0.025 with 11 degrees of freedom.

(c) Find thet-value such that the area left of thet-value is 0.15 with 5 degrees of freedom.[Hint: Usesymmetry.]

(d) Find the criticalt-value that corresponds to 60% confidence. Assume 27 degrees of freedom.