Let X_1,X_2,\ldots,X_n denote a random sample from a normal distribution N(\theta,100).
Show that C=[(x_1,x_2,\ldots,x_n):c\leq \bar x=\frac{\sum_1^n x_i}{n}]
is a best critical region for testing H_o:\theta=75 against H_1:\theta=78.
Find n and c so that...