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Hudson Valley Bottling Company distributes root beer in bottles labeled 32 ounces. The Bureau of Weights and Measures is investigating a claim that the company is cheating customers by underfilling their bottles. 50 bottles are randomly selected and their contents measured. The average fill amount is 31.8 ounces and the sample standard deviation is .75 ounces.

(a) Let ì = mean fill amount in the 32-ounce root beer bottles. Carry out a hypothesis test
involving ì that will help the Bureau complete its investigation.

(b) Is the data statistically significant at the á = .05 level? Use the definition given above.
(c) The Bureau of Weights and Measures will file charges against the company only if the data is significant at the á = .01 level. Is there strong enough evidence that the Bureau should file charges?