Answered: A plant in Alamo, TN, manufactures…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question

A plant in Alamo, TN, manufactures complex transformer components that must meet specific guidelines for safety. One such component is constructed to deliver 1,000 volts of electricity. A component creates a critical safety hazard if it absorbs humidity at a level above 3%. Any components that absorb too much humidity will be destroyed. A quality control inspector uses a random sample of components to conduct a hypothesis test with H₀: The humidity level absorbed is 3%, and H_a: The humidity level absorbed is more than 3%. What is a Type I error in this context?

A) A Type I error would result in failing to reject a false null hypothesis. This means the company would believe the humidity level is at most 3%, when in fact it exceeds 3%.

B) A Type I error would result in rejecting a true null hypothesis. This means the company would believe the humidity level is more than 3%, when in fact it is not more than 3%.

C) A Type I error would result in rejecting a true null hypothesis. This means the company would believe the voltage delivered is more than 1,000 volts, when the voltage is actually not more than 1,000 volts.

D) A Type I error would result in failing to reject a false null hypothesis. This means the company would believe the voltage delivered is no more than 1,000 volts, when the voltage is actually more than 1,000 volts.

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