Workers at a certain soda drink factory collected data on the volumes (in ounces) of a simple random sample of 17 cans of the soda drink. Those volumes have a mean of 12.19 oz and a standard deviation of 0.11 oz, and they appear to be from a normally distributed population. If the workers want the filling process to work so that almost all cans have volumes between 11.94 oz and 12.50 oz, the range rule of thumb can be used to estimate that the standard deviation should be less than 0.14 oz. Use the sample data to test the claim that the population of volumes has a standard deviation of less than 0.14 oz. Use a 0.01 significance level.

a. Identify the null and alternative hypotheses.

b. Compute the test statistic. (Round to three decimal places as needed.)

c. Find the p-value. (Round to four decimal places as needed.)

d. State the conclusion.