Suppose a professor wants to know if students in her statistics class have a good grasp of basic math. Six students are chosen at random from the class and given a math proficiency test. The professor wants the class to be able to score above 70 on the test. The six students get the following scores: 62, 92, 75, 68, 83, 95. Can the professor have 90% confidence that the mean score for the class on the test would be above 70? Please show work in arriving at your conclusion and interpret the resul
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