The mean score on the SAT Math Reasoning exam is 518. A test preparation company claims that the mea
Question: The mean score on the SAT Math Reasoning exam is 518. A test preparation company claims that the mean scores of students who take its course are higher than the mean 518.
Suppose, in fact, the mean score of students taking the preparatory course is 522.
Was a Type I or Type II error committed? If we tested this hypothesis at the \(\alpha \) = 0.01 level, what is the probability of committing a Type I error?
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