A machine manufactures bolts that are supposed to be 3 inches in length. Each day a
Chapter 6, Problem 13(choose chapter or problem)
A machine manufactures bolts that are supposed to be 3 inches in length. Each day a quality engineer selects a random sample of 50 bolts from the day's production, measures their lengths, and performs a hypothesis test of \(H_{0}: \mu=3\) versus \(H_{1}: \mu \neq 3\), where \(\mu\) is the mean length of all the bolts manufactured that day. Assume that the population standard deviation for bolt lengths is . If \(H_{0}\) is rejected at the
level, the machine is shut down and recalibrated.
a. Assume that on a given day, the true mean length of bolts is 3 in. What is the probability that the machine will be shut down? (This is called the false alarm rate.)
b. If the true mean bolt length on a given day is in., find the probability that the equipment will be recalibrated.
Equation Transcription:
Text Transcription:
H_0:=3
H_1:3
mu
H_0
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