A local brewery wishes to ensure that an average of 12 ounces of beer is used to fill each bottle. In order to analyze the accuracy of the bottling process, the bottler takes a random sample of 16 bottles with the following results: 11.8, 11.9, 11.7, 11.5, 11.7, 12, 11.6, 11.6, 11.9, 11.8, 12.2, 11.9, 12, 11.7, 12.2, 12.5. The sample mean for this set of data is calculated to be 11.875, with sample standard deviation, 0.2620432534. A hypothesis test is conducted to determine if the mean bottle fill is different from 12 ounces. Assume all the conditions for the hypothesis test are satisfied.

The test statistic for the hypothesis test is-1.908082. What is thep-valuefor the hypothesis test? Give your answer to4 decimal places.