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Scores on a standardized exam are known to follow a normal distribution with standard deviation =...

Scores on a standardized exam are known to follow a normal distribution with standard deviation = 8.2. A researcher randomly selects 100 students and computes their average score. he reports that the mean score is 83, with a margin of error of 1.436. How confident are you that the mean score for all students taking the exam is in the interval (81.564; 84.436)?

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