Federal environmental statutes applying to a particular nuclear power plant specify that recy- cled water must, on average, be no warmer than 84°F (28.9°C) before it can be released into the river beside the plant. From 70 samples, the average temperature of recycled water was found to be 86.3°F (30.2°C). If the population standard deviation is 13.5 Fahrenheit (7.5 Celsius) degrees, should the plant be cited for exceeding the limitations of the statute? State and test appropriate hypotheses at α = 0.05.
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