Dana is a math professor who usually teaches in-person but has recently started teaching online. Suppose the average grade for the first exam for her in-person classes is 76.5 with a population standard deviation of 19.1. The first exam of her online class averaged just 68.4, based on 20 online exams. Dana wonders if her online students are worse than her in-person students or if the lower score is just random. Use a 95% confidence level to answer Dana’s question.   In answering this question, be sure to: Show your work on the calculated score (you may copy/paste commands from Excel to do this); Indicate what your calculated score is; Indicate and justify what your critical score is; and Determine if this sample average is statistically significant from the mean.

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