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 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 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 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?
Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.
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