I need someone to explain in detail (with words) each step of solving the following problem: In tests of a computer component, it is found that the mean time between failures is 520 hours. A modification is made to increase the time between failures. Tests on a random sample of 10 modified components resulted in the following times (in hours) between failures: 518, 548, 561, 523, 536, 499, 538, 557, 528, 563. With a variance of 428.5, test at the 5% level of significance if the claim that the mean time between failures is different from 520 hours for the modified components.