The manufacturer of a laser printer reports the mean number of pages a cartridge will print before it needs replacing is 12,200. The distribution of pages printed per cartridge closely follows the normal probability distribution and the standard deviation is 820 pages. The manufacturer wants to provide guidelines to potential customers as to how long they can expect a cartridge to last. Refer to the table in Appendix A.1.
How many pages should the manufacturer advertise for each cartridge if it wants to be correct 99 percent of the time? (Round your answer to the nearest whole number. Round z-value to 2 decimal places.)