Preliminary Data Analyses Indicate That It Is Reasonable to Use $\begin{array} { l l l l l } 518 & 548 & 561 & 523 & 536 \\ 499 & 538 & 557 & 528 & 563 \end{array}$

Preliminary data analyses indicate that it is reasonable to use a t-test to carry out the specified hypothesis test. Performthe t-test using the P-value approach.
-In tests of a computer component, it is found that the mean time between failures is 520 hours. A modification is made which is supposed to increase the time between failures. Tests on a random sample of 10 modified components resulted in the following times (in hours)between failures. $\begin{array} { l l l l l } 518 & 548 & 561 & 523 & 536 \\ 499 & 538 & 557 & 528 & 563 \end{array}$

At the 0.05 significance level, test the claim that for the modified components, the mean time between failures is greater than 520 hours.

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