A company offering online speed reading courses claims that students who take their courses show a 5 times (500%) increase in the number of words they can read in a minute without losing comprehension. A random sample of 100 students yielded an average increase of 412% with a standard deviation of 218%. We want to assess the companies' claim. (a) Perform a hypothesis test evaluating if the company's claim is reasonable. Make sure to interpret your response in context of the hypothesis test and the data. Use = 0.025. (Note that you can assume that the conditions for inference are satisfied from last week's coursework.) [6] (b) Do your results from the hypothesis test and the confidence interval (last week's homework) agree? Explain