The cost of ink cartridges for inkjet printers can be substantial over the life of a printer. Printer manufacturers publish the number of pages that can be printed from an ink cartridge in an effort to attract customers. HP claims that the C6615DN 25mL black print cartridge will yield an average of 495 pages. To test this claim, an independent lab measured the page count of 45 C6615DN cartridges and found the average page count to be 488.9. Assume the standard deviation for this population is 45 pages.

Required

What is the 95% confidence interval for this sample?

Write your answer as follows: 98.1234 to 113.9876 (rounded to 4 decimal places)