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# Problem 4

6.2 Using the Central Limit Theorem

*There is a tiny error at the very end of the video (at about the 7th minute) after I have found the area from the z-table. When subtracting my table area from 0.5000, I somehow make a typo in the last digit. I subtract 0.4984 from 0.5000 instead of subtracting 0.4986. Everything prior to that is correct, so just finish the problem by doing 0.5000 - 0.4986.

**The average salary for a psychology Ph.D. graduate specializing in clinical, counseling, or school psychology is $64,140 with a standard deviation of $18,405. Find the probability that a group of 31 randomly selected psychologists has an average salary higher than $74,000 per year.**