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You want to test to see if the highest test score in this class is significantly different than the average. The score is 100 and

You want to test to see if the highest test score in this class is significantly different than the average. The score is 100 and the average is 90 with standard deviation of 2. Recall what we learned about z-scores and the normal curve and, state "yes" or "no" as to whether this high test score of 100 would be statistically significantly different from the population mean (of 90). So, then, would we reject the null hypothesis (or not); and which kind of error could we possibly be making? Do we need a sampling distribution to have run this statistical test; and why (or why not)?

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