A manufacturer of athletic shoes claims that the mean life of his shoes will exceed 50 hours. The shoe life is known to be normally distributed with a standard deviation o = 5 hours. A researcher wishes to test the manufacturer's claim with a sample of 25 shoes at a=0.01. Compute the power of the test if the true mean life = 54 hours. (Note that you only have to compute the power of the test in this problem) (Round your answer to four decimal places)