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. A company claims that its black ink cartridge will yield an average of 2,284

pages. To test this claim, an independent lab measured the page count of 44 cartridges and found the average page count to be 2,209.8. Assume the standard deviation for this population is 203. Complete parts a and b.

a. Create a 95% confidence interval.