A batch of weighing machine has been purchased and one machine selected at random for testing. Ten weighing tests have been conducted and the errors found noted as follows in GM's;4.6,8.2,2.1,6.3,5.0,3.6,1.4,4.1,7.0,4.5.The purchasing manager has previously accepted machines with a mean error of 3.8gms and asserts these tests are below standards.Test the assertion at 5%level.