# Suppose a consumer product researcher wanted to find out whether a Sharpie lasted longer than the manufacturerâ€™s claim that their

Suppose a consumer product researcher wanted to find out whether a Sharpie lasted longer than the manufacturerâ€™s claim that their Sharpies could write continuously for a mean of 14 hours. The researcher tested 40 Sharpieâ€™s and recorded the number of continuous hours each Sharpie wrote before drying up. Test the hypothesis that Sharpies can write for more than a mean of 14 continuous hours. Following are the summary statistics: x Ì… ï€½ 14.5 hours, s ï€½ 1.2 hours. At the 5% significance level, t = 2.635; p = 0.006. State your conclusion about the original claim.

A. Do not reject the null hypothesis; there is not strong enough evidence to suggest that the Sharpies last longer than a mean of 14 hours.
B. Reject the alternative hypothesis; there is strong evidence to suggest that the Sharpies last longer than a mean of 14 hours.
C. Reject the null hypothesis; there is strong evidence to suggest that the Sharpies last longer than a mean of 14 hours.
D. There needs to be more data to determine if the Sharpies last longer than a mean of 14 hours.