Suppose that in a particular company, the overall mean and standard deviation of scores on a safety awareness test are 100 points, and 12 points, respectively. Our interest is in the scores of 55 employees in a new office that just opened in Plano, Texas. They achieved a mean score of 96. Is their mean score significantly lower than the overall company mean: that is, would the scores of the employees in this office be comparable to another simple random sample of 55 employees from the company, or are their scores surprisingly low? In other words, if we took another sample would we get similar results?
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