Operating temperatures of two models of portable electric generators follow a normal distribution. For generator I, the mean temperature is μ1 = 148°F with standard deviation σ1 = 25°F. For generator II, the mean temperature is μ2 = 143°F with standard deviation σ2 = 8°F. At peak power demand, generator I was operating at 166°F, and generator II was operating at 165°F.

(a) At peak power output, both generators are operating at about the same temperature. Relative to the operating characteristics, is one a lot hotter than the other? Explain.
(b) Convert the peak power temperature for each generator to standard z units. Then locate both z scores under a standard normal curve. Could one generator be near a meltdown? Which one? Explain your answer.

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a Since at peak power demand generator I was operating ... View the full answer