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Consider the filling of cereal packages. Suppose that industry regulations state that if the mean package...

Consider the filling of cereal packages. Suppose that industry regulations state that if the mean package weight is not 16 ounces or more for a population of packages with label weight 16 ounces, then the company will be prosecuted. In this situation we, as the regulators, could prosecute only if we found strong evidence that the mean package weight was less than 16 ounces. Thus, our objective is to verify that the mean package weight, is not 16.0 ounces or more. Suppose that for this problem the population standard deviation is s = 0.4 and we obtain a random sample of 25, with an average of 18 ounces. Assume α = 0.05. Is the population mean package weight more than 16.0 ounces?

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