A prison uses thousands of fluorescent light bulbs each year. The current brand has a mean life of 900 hours. A manufacturer claims that its new brand, which costs the same as the old brand, has a mean life ofmore than900 hours. The prision decides to test the manufacturer's claim at the alpha () = 0.05 level. Suppose 64 bulbs were teste with the following results:= 920 hours ; s=80 hours. Does the manufacturer's claim appear correct?Rememberto state all steps in hypothesis testing.