Question: The question I need help with is this: Dana is a math professor who usually teaches in-person but has recently started teaching online. Suppose the

The question I need help with is this:

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, can you show me how to

Show me the work on the calculated score (
Indicate what the calculated score is;
Indicate and justifywhat the critical score is; and
Determine if this sample average is statistically significant from the mean.

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