Suppose a pen company wants to find out whether their latest pen lasts longer than the their competitor, which claims that their pen can write continuously for 14 hours on average. The pen company tests 40 of the competitors pens and records the number of continuous hours each of the competitors pens wrote before drying up. Test the hypothesis that the competitors pens can write for more than a mean of 14 continuous hours. Following are the summary statistics: Mean = 14.5, Standard dev = 1.2 hours At the 5% significance level, t = 2.635; p = 0.006. State your conclusion about the original claim. to euay dW STA Reject the null 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. 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. Reject the alternative hypothesis; there is strong evidence to suggest that the Sharpies last longer than a mean of 14 hours.