Compute the standard error and bound on the error of estimation associated with ????̄

using the finite population correction factor, when

(a) ???? = 5000, ???? = 400, and ???? = 120.

(b) ???? = 15000, ???? = 500, and ???? = 50.

(c) ???? = 12000, ???? = 250, and ???? = 250.

(d) ???? = 25000, ???? = 1000, and ???? = 75.

(e) ???? = 50000, ???? = 5000, and ???? = 100.