Determine the conservative sample size required to achieve the prespecified value of

???? in each of the following scenarios.

(a) ????0 ∶ ???????? = ????????, ????crit = 0.04, ???? = 0.05, and ???? = 0.10.

(b) ????0 ∶ ???????? ≥ ????????, ????crit = 0.06, ???? = 0.05, and ???? = 0.05.

(c) ????0 ∶ ???????? ≤ ????????, ????crit = 0.02, ???? = 0.05, and ???? = 0.15.

(d) ????0 ∶ ???????? ≤ ????????, ????crit = 0.05, ???? = 0.01, and ???? = 0.10.

(e) ????0 ∶ ???????? = ????????, ????crit = 0.03, ???? = 0.01, and ???? = 0.15.

(f) ????0 ∶ ???????? ≥ ????????, ????crit = 0.02, ???? = 0.05, and ???? = 0.05.