A pharmacist uses a new machine which is supposed to fill bottles with exactly 12 ounces of cough syrup. In order to test the accuracy of his new machine, the pharmacist obtains a random sample of 40 filled bottles of cough syrup. He finds that this sample of bottles has a mean weight of 11.98 ounces and a standard deviation of 0.062 ounces. At the 5% level of significance, test his claim that the average bottle of cough syrup produced by the new machine is not significantly different from the 12 ounce target weight. In the previous problem, you formed the null and alternative hypotheses for this hypothesis test. Now find the P-value for this test, and use it to determine if the new machine is producing bottles of cough syrup that have an average weight significantly different from the 12 ounce target.