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According to data from the Environmental Protection Agency (www3.epa.gov), in 2015 the average daily water consumption for a household of four people in the United States was more than 400 gallons. Suppose a state agency plans to test this claim using an alpha level equal to 0.05 and a random sample of 100 households with four people.
a. State the appropriate null and alternative hypotheses.
b. Calculate the probability of committing a Type II error if the true population mean is 385 gallons. Assume that the population standard deviation is known to be 40 gallons
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