1. Impurities A manufacturer can tolerate a small amount (.05 milligrams per liter (mg/L)) of impurities in a raw material needed for manufacturing its product.

To test for impurities in a particular batch of raw material, the manufacturer tests the batch 10 times, records the 10 readings, and finds a mean of .058 mg/L, with a standard deviation of .012 mg/L. Do the data provide sufficient evidence to indicate that the amount of impurities in the batch exceeds .05 mg/L? Find the p-value for the test and interpret its value.