Solve the problem. Suppose a consumer product researcher wanted to find out whether a Sharpie lasted longer than the manufacturer's claim that their Sharpies could write continuously for a mean of 14 hours. The researcher tested 40 Sharpies 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 14.5 hours, s 1.2 hours At the 5% significance level, t = 2.635; p = 0.006. State your conclusion about the original claim. (a) Reject the null hypothesis; there is strong evidence to suggest that the Sharpies last longer than a mean of 14 hours. Reject the alternative hypothesis; there is strong evidence to suggest that the Sharpies last longer than a mean of 14 hours. There needs to be more data to determine if the Sharpies last longer than a mean of 14 hours. d) 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