Question

Assume that your friend claims that he can run 20 km in less than an hour and a professional sports team will recruit him after graduation based on this outcome so he does not worry about his GPA at the university. You would like to test this claim and take a random sample of 34 runs this year and find that he averaged 58.2 minutes. Assume that the standard deviation of his runs is 8.5 minutes and it is normally distributed. a. State the null and alternative hypotheses. b. Test the hypotheses at the 5% significance level. What is the p-value of the test? c. What is your conclusion in the context of the question? d. Interpret the p-value you found above. e. What type of error you can commit here? Explain in the context of the question. Also, what are the implications of this error?

Answer 1