A company manufactures women's general handball balls certified by the International Handball Federation. The weight of handball balls produced by this company follows a normal distribution with mean 350 g and standard deviation 16 g. The company determines that there is a problem in the production process if the average weight of 64 randomly selected handball balls is 346 g or less, or 355 g or more. Using the standard normal distribution table below, what is the probability that the company determines there is a problem in the production process? [3 points]
| $z$ | $\mathrm { P } ( 0 \leqq Z \leqq z )$ |
| 2.00 | 0.4772 |
| 2.25 | 0.4878 |
| 2.50 | 0.4938 |
| 2.75 | 0.4970 |
(1) 0.0290
(2) 0.0258
(3) 0.0184
(4) 0.0152
(5) 0.0092