In test of a computer component, it is found that the meanbetween failures is 520 hours. A modification is made which issupposed to increase the time between failures. Tests on a randomsample of 8 modified components resulted in the following times (inhours) between failures. Use a 0.05 significance level to test theclaim that the mean time between failures is greater than 520hours. Assume that the population is normally distributed.
518, 548, 561, 523, 536, 499, 538, 557
a. Compute the mean and standard deviation of the data.
b. State null and alternative hypotheses. Define theparameter.
c. Show the graph and label the p-value in graph.
d. Compare the p-value vs. ?.
e. State the decision and conclusion.
