Question: A lawyer was conducting some research on two judges and their sentences issued for a certain crime. Reviewing 122 cases presided over by Judge Montoya, the lawyer found the average sentence issued was 14.1 years with a standard deviation of 1.77 years. The lawyer found that for the same crime, Judge Laughlin had issued an average of 13.9 years with a standard deviation of 1.91 years for the 136 cases she presided over. Construct the 99% confidence interval for the actual difference between average sentences issued by Judges Montoya and Laughlin. Interpret your results by explaining your calculations and what they mean.

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