Resistors for use in a certain application are supposed to have a mean resistance, μ, greater than 100 Ω. Assume that the standard deviation of the resistance is 5 Ω. Resistances will be measured for a sample of resistors, and the following hypothesis will be tested:
H1: μ > 100.
Assume that 100 resistors are sampled and the hypothesis test is conducted at the 5% level.
(a) If 100 resistors are sampled, what is the power of a test made at the 5% level?
(b) How many resistors must be sampled so that a 5%level test has power 0.95?
(c) If 100 resistors are sampled, at what level must the test be made so that the power is 0.90?
(d) If 100 resistors are sampled, and the rejection region is what is the power of the test?