34. Suppose a consumer product researcher wanted to find out whether a typical highlighter lasted less than the manufacturer's claim that their highlighters could write continuously for 14 hours. The researcher tested a random sample of 30 highlighters and recorded the number of continuous hours each highlighter wrote before drying up. The summary statistics from this sample are x=13.6 hours and s=1.3 hours. Test the hypothesis that the mean highlighter from this manufacturer Writes for less than 14 continuous hours using a significance level of a = 0.05. VIISOR RI (a) 2= - 1.69, p-value = 0.0455: Reject the null hypothesis and conclude that there Is evidence to suggest that the mean highlighter lasts less than 14 hours, (b) 2 = 1.69, p-value = 0.9545: Fail to reject the null hypothesis and conclude that there is not enough evidence to suggest that the mean highlighter lasts less than I* (C) t= -1.685, p-value > 0.05: Fail to reject the null hypothesis and conclude that hours. there is not enough evidence to suggest that the mean highlighter lasts less than It (d) t = -1.685, p-value < 0.05: Reject the null hypothesis and conclude that there 15 evidence to suggest that the mean highlighter lasts less than 14 hours. (e) There is not enough information given to test the hypothesis