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Twenty-five seniors from a large metropolitan area school district volunteer to allow their maths ATAR test scores to be used in a study. These 25 seniors had a mean maths ATAR score of 450. Suppose we know that the standard deviation of the population of maths ATAR scores for seniors in the district is \sigma = 100. Assuming the population of maths ATAR scores for seniors in the district is approximately Normally distributed, a 90% confidence interval for the mean maths ATAR score
\mu for the population of seniors computed from these data is