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Assume that your friend claims that he can run 20 km in less than an hour...

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Statistics

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

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