A production line is producing window hinges for an automotive company. The weight in kilograms of these parts is very close to the maximum allowed for a standard shipping container and must be controlled. A sample of 15 parts was taken at random from the production line and weighed. The weights are shown below in Kg.
0.297
0.296
0.294
0.297
0.296
0.295
0.293
0.301
0.301
0.295
0.295
0.301
0.296
0.302
0.296
The standard deviation of the entire population produced at the plant was previously found to be
0.024 Kg. What percentage of the data would fall below the lower specification limit of 0.274Kg? What percentage of the data would fall above 0.347Kg?