The meаn аnnuаl incоmes оf certified welders are nоrmally distributed with the mean of $50,350 and a population standard deviation of $2,000. The ship building association wishes to find out whether their welders earn more or less than $50,350 annually. A sample of 100 welders is taken and the mean annual income of the sample is $50,580. If the level of significance is 0.05, what conclusion should be drawn? State your conclusion below and fully justify your decision. (Please make sure to show ALL of work. Answers without supporting work will receive a zero.)