Resistors for use in a certain application are supposed to
Chapter 6, Problem 12SE(choose chapter or problem)
Resistors for use in a certain application are supposed to have a mean resistance μ greater than \(100\ \Omega\). Assume that the standard deviation of the resistances is \(5 \ \Omega\). Resistances will be measured for a sample of resistors, and a test of the hypothesis \(H_0:\mu \leq 100\) versus \(H_1:\mu >100\) will be made. Assume that in fact the true mean resistance is \(101\ \Omega\).
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 \(X:>100.5\), what is the power of the test?
Equation Transcription:
Text Transcription:
mu
100
5
H0:100
H1:>100
101
X:>100.5
Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.
Becoming a subscriber
Or look for another answer