A sample of 50 copper wires had a mean resistance of \(1.03 \mathrm{~m} \Omega\) with a standard deviation of \(0.1 \mathrm{~m} \Omega\). Let \(\mu\) represent the mean resistance of copper wires of this type.

a. Find the \(P\)-value for testing \(H_{0}: \mu \leq 1\) versus \(H_{1}: \mu>1\).

b. Either the mean resistance is greater than \(1 \mathrm{~m} \Omega\), or the sample is in the most extreme \(\%\) of its distribution.