A buyer suspects that the factory's claimed life of mean is 3000 hours for these light balls are too high. To check the claim, the factory tests 50 of these light balls and gets a mean lifetime of sample mean = 2988 hours and a standard deviation of s = 155 hours. What can the factory conclude at the 0.01 level of significance if they test the null hypothesis mean = 3000 hours again an appropriate alternative?