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A company offering online speed reading courses claims that students who take their courses show a...

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 the context of the hypothesis test and the data. Use α = 0.025.

(b) Do your results from the hypothesis test and the confidence interval agree? Explain.

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