Civil engineers collected data from one area of Wisconsin on the amount of salt (tons) used to keep highways drivable during a snowstorm. The amount of salt for n = 30 storms has ¯x = 1798.4 tons. Assume that the population sampled is normal with σ = 819.35 tons.
(a) Conduct a test of hypotheses with the intent of showing that the mean salt usage during a snowstorm is less than 2000 tons. Take α = 0.05.
(b) Based on your conclusion in part (a), what error could you have made? Explain in the context of the problem.
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