During a given year, high school students earned a mean of $1359. Assume that a sample consisting of 45 students at a school was found to have earned a mean of $1382 with a standard deviation of $210. Would a hypothesis test at the 0.01 significance level suggest that the average earnings of this school were significantly higher than the national mean? Formulate the alternative and null hypotheses and do the necessary steps for hypothesis testing. Use critical values to obtain a conclusion.
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