A machine makes pipe fittings to have a mean length of approximately \(2 \mathrm{in}\). and the standard deviation of the lengths must be less than \(0.04 \mathrm{in}\). To make sure the machine is making the fittings to spec, a random sample of 30 pipe fittings were selected and the sample mean was calculated to be \(1.98 \mathrm{in}\). and the sample standard deviation was calculated to be \(0.03 \mathrm{in}\). Is the machine manufacturing the pipe fittings such that the standard deviation of the lengths is less than 0.04 in.?