In some mining operations, a byproduct of the processing is mildly radioactive and release of these byproducts into the environment may contaminate the freshwater supply. There are strict regulations for the maximum allowable radioactivity in supplies of drinking water, namely an average of 5 picocuries per litre (pCi/L) or less. A random sample of 40 specimens of water from the city’s water supply gave a mean of 5.39 pCi/L and a standard deviation of 0.77 pCi/L. Is the city’s water supply contaminated? Test this hypothesis at the 0.01 level of significance. Give an approximate p-value for the test statistic.

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