Salaries for new assistant professors at State College are normally distributed with a mean of $80000 ...

Salaries for new assistant professors at State College are normally distributed with a mean of $80000 and a standard deviation of $9000 . 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.

(2%) X∼ (pick one) BinomialNormalPoissonUniform ( , ) .
(3%) X¯∼ (pick one) BinomialNormalUniformPoisson ( , ) .
(3%) Find the probability that an individual teacher earns more than $65,000.

P(X>65000)=
(3%) Find the probability that the average salary for the sample is more than $65,000.

P(X¯>65000)=
(3%) Find the 90th percentile for the average teachers’ salary for samples of 20 teachers.

If P(X¯<a)=0.9 then a= .

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Expert Solution

orchestra answered 1 year ago

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