Fluoride is added to public water supplies and many dental products in order to help prevent tooth decay. Sodium fluoride is a common additive in toothpaste, and the concentration is usually measured...

Fluoride is added to public water supplies and many dental products in order to help prevent tooth decay. Sodium fluoride is a common additive in toothpaste, and the concentration is usually measured in parts per million by weight (ppmF). The manufacturer of Pepsodent toothpaste claims the concentration of fluoride in every tube is 1000 ppmF. A random sample of toothpaste tubes was obtained, and the fluoride concentration in each was determined. Some research suggests that high concentrations of fluoride can be toxic and may cause brain damage, immune disorders, and changes in bone structure and strength.

a. Test the relevant hypothesis concerning the mean fluoride concentration per tube of toothpaste. Assume normality and use a = 0.05.

b. Find bounds on the p value associated with this hypothesis test.