## Answers

At 95% confidence level, the critical value is z_{0.025} = 1.96

The 95% confidence interval is

+/- z_{0.025} *

= 458.1 +/- 1.96 * 46/

= 458.1 +/- 13.75

= 444.35, 471.85

Option - B) No, because the company's claim is not between the lower limit of 444.35 pages and the upper limit of 471.85 pages for the average number of pages yielded by a single black cartridge.

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