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Qusetion: Down the toilet A company that makes hotel toilets claims that its new pressure-assisted toilet reduces the average amount of water used by more than 0.5 gallon per flush when compared to its current model. To test this claim, the company randomly selects 30 toilets of each type and measures the amount of water that is used when each toilet is flushed once. For the current-model toilets, the mean amount of water used is 1.64 gal with a standard deviation of 0.29 gal. For the new toilets, the mean amount of water used is 1.09 gal with a standard deviation of 0.18 gal.
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A system's open-loop transfer function is a pure time delay of 0.5 s, so that G(s) = e-s/2. Select a compensator Gc(s) so that the steady-state error for a step input is less than 2% of the magnitude of the step and the phase margin is greater..
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