The true mean voltage drop from collector to emitter of insulated gate bipolar transistors of a certain type is supposed to be 2.5 volts. A researcher is worried the voltage 5. drop is too low and plans to randomly select 10 transistors to test the hypotheses of interest. Assume the population standard deviation is 0.11 and the voltage drop is normally distributed. Assume that, unknown to the researcher, the true mean voltage drop is 2.4 volts. a) What are the null and alternative hypotheses? b) For what values of X should Ho be rejected so that the power of the test is .90? What will the level then be? c) How large of a sample is needed so that a 1% level test has power .95?

The true mean voltage drop from collector to emitter of insulated gate bipolar transistors of a certain type is supposed to be 2.5 volts. A researcher is worried the voltage 5. drop is too low and plans to randomly select 10 transistors to test the hypotheses of interest. Assume the population standard deviation is 0.11 and the voltage drop is normally distributed. Assume that, unknown to the researcher, the true mean voltage drop is 2.4 volts. a) What are the null and alternative hypotheses? b) For what values of X should Ho be rejected so that the power of the test is .90? What will the level then be? c) How large of a sample is needed so that a 1% level test has power .95?

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

5.
The true mean voltage drop from collector to emitter of insulated gate bipolar
transistors of a certain type is supposed to be 2.5 volts. A researcher is worried the voltage
drop is too low and plans to randomly select 10 transistors to test the hypotheses of interest.
Assume the population standard deviation is 0.11 and the voltage drop is normally
distributed. Assume that, unknown to the researcher, the true mean voltage drop is 2.4 volts.
a) What are the null and alternative hypotheses?
b) For what values of X should H, be rejected so that the power of the test is .90? What
will the level then be?
c) How large of a sample is needed so that a 1% level test has power .95?

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