Suppose that in a random sample of 50 well water samples, conducted in particular region of Nova Scotia, the average concentration of arsenic was found to be 0.013 mg/L. Suppose further that it is known from long experience that the standard deviation of arsenic concentration is 0.007 mg/L throughout Nova Scotia. Health Canada’s Maximum Acceptable Concentration for arsenic in well water is 0.01 mg/L. Test the claim that the well water is actually safe, according to Health Canada, at a 95% confidence level and report a p-value.

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