Suppose a Consumer Product Researcher Wanted to Find Out Whether $$\bar { x } = 415 \text { pages, } s = 30 \text { pages }$$

Suppose a consumer product researcher wanted to find out whether a printer ink cartridgelasted longer than the manufacturer's claim that their ink cartridges could print 400 pages.The researcher tested 40 ink cartridges and recorded the number of pages that wereprinted before the ink started to fade. Test the hypothesis that the ink cartridges lasted formore than 400 pages. Following are the summary statistics:
$$\bar { x } = 415 \text { pages, } s = 30 \text { pages }$$ Be sure to report the null and alternative hypothesis, test statistic, p-value, your decisionregarding the null hypothesis, and your conclusion about the original claim. Round allvalues to the nearest thousandth.