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Situation 2: Mark claims that his mean time for running a mile is 5.7 minutes and has a standard deviation of 0.2 minutes. This claim
Situation 2: Mark claims that his mean time for running a mile is 5.7 minutes and has a standard deviation of 0.2 minutes. This claim seems a bit fast and you want to put him to the test, so you make him run a mile. He runs the mile in 5.8 minutes, which is slower than his claim. However, if he is telling the truth, there is about a 0.31 probability, of having a time at least as high as 5.8 minutes. QUESTION: Although he did not run the mile at the 5.7 minute pace that he claimed, would you be able to take his word for it given his result OR is this result enough evidence to prove that he is lying? Explain, and use the given 0.31 probability in your explanation
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