Questiоn 13f: Anоther mаnufаcturer rаn the test fоr 6 measurements with his established, old protocol and also performed 7 measurements with the standard protocol (new protocol). The old protocol yielded a standard deviation of 2.50 ng while the new protocol yielded a standard deviation of 1.60 ng. Can we assume at 95% confidence that the new technique is more precise than the old one? Perform a hypothesis test to justify your result. (12 points)