In test of a computer component, it is found that the mean between failures is 520 hours. A modification is made which is supposed to increase the time between failures. Tests on a random sample of 8 modified components resulted in the following times (in hours) between failures. Use a 0.05 significance level to test the claim that the mean time between failures is greater than 520 hours. Assume that the population is normally distributed.

518 548 561 523 536
499 538 557 528 563

Determine:
a. Compute the mean and standard deviation of the data.
b. State null and alternative hypotheses. Define the parameter.
c. Show the graph and label the p-value in the graph.
d. Compare the p-value vs. a.
e. State the decision and conclusion.