An advertisement for a word processing class claims that students who complete the class will on average be able to type 60 words per minute with. standard deviation of 6wpm. At the end of the class, 49 students are tested and their mean score is 58.5 wpm.

construct a 99% confidence interval for the true mean of the population. What conclusion can you draw from this interval and do you have evidence to reject the claim that the average graduate can tyoe 60 wpm?