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

2,337 pages. To test this claim, an independent lab measured the page count of 48

cartridges and found the average page count to be 2,285.2.

Assume the standard deviation for this population is 207.

Complete parts a and b.

a. Create a 95% confidence interval.

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(Round to two decimal places as needed.)

b. Does this sample support the company's claim? Choose the correct answer below.

A. Yes, because the company's claim is between the limits of the confidence interval for the average number of pages yielded by a single black cartridge. Yes not B. No, because the company's claim is between the limits of the confidence interval for the average number of pages yielded by a single black cartridge. C. No, because the company's claim is between the limits of the confidence interval for the average number of pages yielded by a single black cartridge. D. No, because the company's claim is between the limits of the confidence interval for the average number of pages yielded by a single black cartridge.