An office building in New York uses thousands of fluorescent light bulbs each year. The brand of a manufacturer claims that its new brand of bulbs, which the office building currently uses, has a mean life of more than 900 hours and costs the same as the current brand. The university has decided to purchase the new brand and wants to test the manufacturer's claim at the 0.05 significance level. A sample of 64 bulbs was tested, and the sample has a mean of 920 hours and a standard deviation of 80 hours. What are the null hypothesis and the alternative hypothesis? Test your hypothesis using a Z-test. Should the office building purchase the new brand of fluorescent bulbs?
