Refer to Exercise 23. It is discovered that the mean of the sample used to compute the confidence bound is \(\bar{X}=3.40\). Is it possible to determine whether \(P<0.01\) ? Explain.

Data From Exercise 23:

The strength of a certain type of rubber is tested by subjecting pieces of the rubber to an abrasion test. For the rubber to be acceptable, the mean weight loss \(\mu\) must be less than \(3.5 \mathrm{mg}\). A large number of pieces of rubber that were cured in a certain way were subject to the abrasion test. A 95\% upper confidence bound for the mean weight loss was computed from these data to be \(3.45 \mathrm{mg}\). Someone suggests using these data to test \(H_{0}: \mu \geq 3.5\) versus \(H_{1}: \mu<3.5\).