2. An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a standard deviation of 36 hours. A lifetime test of n=36 samples resulted in the sample average of 1510 hours. Assume the significance level of 0.05. (a) Test the hypothesis Ho: µ = 1000 versus H;:µ± 1000 using a p-value.

Elements Of Electromagnetics
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2. An electrical firm manufactures light bulbs that have a lifetime that is approximately normally
distributed with a standard deviation of 36 hours. A lifetime test of n=36 samples resulted in
the sample average of 1510 hours. Assume the significance level of 0.05.
(a) Test the hypothesis Ho: µ = 1000 versus H1: µ# 1000 using a p-value.
(b) Test the hypothesis using critical region(s) approach.
(c) Suppose that the true mean lifetime is 1510 hours. What is type Il error probability for this|
two-sided test.
Transcribed Image Text:2. An electrical firm manufactures light bulbs that have a lifetime that is approximately normally distributed with a standard deviation of 36 hours. A lifetime test of n=36 samples resulted in the sample average of 1510 hours. Assume the significance level of 0.05. (a) Test the hypothesis Ho: µ = 1000 versus H1: µ# 1000 using a p-value. (b) Test the hypothesis using critical region(s) approach. (c) Suppose that the true mean lifetime is 1510 hours. What is type Il error probability for this| two-sided test.
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