A state university uses thousands of flourescent light bulbs each year. The brand of bulb it currently uses has a mean life of 800 hours. A competitor claims that its bulb, which cost the same as the brand the university uses, have a mean life of more than 800 hours. The university has decided to purchase the new brand if, when tested, the evidence supports the manufactuer claim at the .05 significance level. Suppose 49 bulbs were tested with the folowing results: x-bar = 827.5 hours, s= 70 hours. Conduuct the test using alpha=.05