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(Solved): need help, thank you! 1. When a chip fabrication facility is operating normally, the lifetime of a m ...



need help, thank you!

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1. When a chip fabrication facility is operating normally, the lifetime of a microchip operated at temperature , measured in degrees Celsius, is given by an exponential random variable with expected value years. Occasionally, the chip fabrication plant has contamination problems, and the chips tend to fail much more rapidly. To test for contamination problems, each day chips are subjected to a one-day test at . Based on the number of chips that fail in one day, design a signifieance test for the null hypothesis test that the plant is operating normally. a) Find an expression for the significance level of the test as a function of , the total number of chips tested such that the null hypothesis is rejected for b) How many chips must be tested for a significance level of 0.01 c) If we increase the temperature at which we test, does the number of chips needed increase of decrease, why?


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