Suppose that for many years a certain kind of power unit produced by the E. G. Company has, on the average, produced 1000 V of power/hr. The unit has recently been redesigned and E. G. now claims it...

Suppose that for many years a certain kind of power unit produced

by the E. G. Company has, on the average, produced 1000 V of

power/hr. The unit has recently been redesigned and E. G. now

claims it produces more power, on the average, than the old

design. As a user of such a power unit, you must decide to

accept the claim or not, so you sample four units observing

v = 1250 V ands = 100 V.

(a) How should the null and alternative hypotheses be stated by

you, a user?

(b) Find the critical region for a 0.05 and a 0.01 level

tests.

(c) What decisions are made in part (b)?