Showstoppers manufactures adhesive vinyl for sign companies. The adhesive loses its adhesion qualities if not used for a few years. The life of their adhesive vinyl is normally distributed with mean 3.5 years and standard deviation 0.4 years. A worker at Showstoppers has designed a new type of adhesive that she claims lasts longer. Five dozen rolls of the new adhesive vinyl are manufactured and tested. They have a mean life of 4.9 years. Do you think this is enough evidence that the new adhesive vinyl will last longer? Explain.