A particular type of diet cola advertises that each can contains 12 ounces of the beverage. Each hour, a supervisor selects 10 cans at random, measures their contents, and computes a 95% confidence interval for the true mean volume. For one particular hour, the 95% confidence interval is 11.97 ounces to 12.05 ounces.

a. Does the confidence interval provide convincing evidence that the true mean volume is different than 12 ounces? Explain your answer.

b. Does the confidence interval provide convincing evidence that the true mean volume is 12 ounces? Explain your answer.