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Supporters claim that a new windmill can generate on average 800 kilowatts of power per day....

Supporters claim that a new windmill can generate on average 800 kilowatts of power per day. Daily power generation is assumed to be normally distributed with a standard deviation of 120 kilowatts. A random sample of 100 days is taken to test the claim against the alternative hypothesis that the true mean is less than 800 kilowatts.

What is the probability that the population mean is in fact 740 kilowatts per day?

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