20.1. Speed reading. A company running online speed reading courses claims that students who take their courses show a 500% {5 times) 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 453% with a standard deviation of 213%. We want to assess the companies' claim. Assume the conditions for the sample mean being approximately normal are satisfied. (a) Perform a hypothesis test evaluating if the company's claim is reasonable. Use a significance level of o = [1.05 and calculate a p-value and report it to 3 significant figures. At the end. make sure to interpret your response {in one sentence) in the context of the hypothesis test and the data. (b) Calculate a 95% confidence interval for the average percentage increase in the number of words students can read in a minute without losing comprehension. (c) Do your results from the hypothesis test and the condence interval agree? Explain why {in one sentence). 232. Find the sample mean. You are given the following hypotheses: Ho: ,u = 35. HA: p > 35. We know that the sample standard deviation is 10 and the sample size is 31. For what sample mean would the pvalue be equal to 0.05? Assume that all conditions necessary for the sample mean to be nearly normal are satisfied. [2] l1] [3]