A shipment of fibers is not acceptable if the mean breaking strength of the fibers is less than \(50 \mathrm{~N}\). A large sample of fibers from this shipment was tested, and a \(98 \%\) lower confidence bound for the mean breaking strength was computed to be \(50.1 \mathrm{~N}\). Someone suggests using these data to test the hypotheses \(H_{0}: \mu \leq 50\) versus \(H_{1}: \mu>50\).

a. Is it possible to determine from the confidence bound whether \(P<0.01\) ? Explain.

b. Is it possible to determine from the confidence bound whether \(P<0.05\) ? Explain.