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  3. problem 2 salaries for new assistant professors at state college...

Question: problem 2 salaries for new assistant professors at state college...

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Problem 2 Salaries for new assistant professors at State College are normally distributed with a mean of $80000 and a standard deviation of $7000 We randomly survey 20 teachers from that district, let X be the salary of a randomly selected teacher at State, and let X be the average salary of 20 randomly selected teachers b. (3%) 8 ~ Ipick one, B ( c. (396) Find the probability that an individual teacher earns more than $65,000. P(X> 65000) d. (3%) Find the probability that the average salary for the sample is more than $65,000. P 65000) (3%) Frd the 90th percentile for the average teachers salary for samples of 20 e. teachers. P < a) 0.9 then a
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