The true mean voltage drop from collector to emitter of insulated gate bipolar transistors of a certain type is supposed to be 3.9 volts. A researcher is worried the voltage drop is too high and plans to randomly select 15 transistors to test the hypotheses of interest. Assume the population standard deviation is 0.15 and the voltage drop is normally distributed. Assume that, unknown to the researcher, the true mean voltage drop is 4.2 volts. a) What are the null and alternative hypotheses? b) How large of a sample is needed so that a 1% level test has power .85? c) For what values of x bar should Ho be rejected so that the power of the test is .90? What will the level then be?
The true mean voltage drop from collector to emitter of insulated gate bipolar
transistors of a certain type is supposed to be 3.9 volts. A researcher is worried the voltage
drop is too high and plans to randomly select 15 transistors to test the hypotheses of interest.
Assume the population standard deviation is 0.15 and the voltage drop is
distributed
a) What are the null and alternative hypotheses?
b) How large of a sample is needed so that a 1% level test has power .85?
c) For what values of x bar should Ho be rejected so that the power of the test is .90? What
will the level then be?
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