This is Introduction to probability and statistics.

Please answer clearly showing all the steps.

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3. A comparison between the average completion time of a graduate school program in Fine Arts vs. Communications yielded the following results (in years), respectively: 211 = 80, x1 = 3.2, 51: 0.6, \"3 = 90, x, = 2.8, and 1 = 0.7. Estimate #1- \"\"1, the difference in mean years of program completion. Based on a 95% condence interval, is program completion time different between the two programs? Justify your answer. (4 points)