Refer to Exercise 24. It is discovered that the standard deviation of the sample used to compute the confidence interval is $5N$. Is it possible to determine whether $P<0.01$ ? Explain.

Data From Exercise 24:

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 \(H_{1}: \mu>50\).