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In: Statistics and Probability

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.

  1. (2%)   X∼    (pick one) BinomialNormalPoissonUniform   ( , ) .

  3. (3%)   X¯∼    (pick one) BinomialNormalUniformPoisson   ( , ) .

  5. (3%) Find the probability that an individual teacher earns more than $65,000.

    P(X>65000)=   


  7. (3%) Find the probability that the average salary for the sample is more than $65,000.

    P(X¯>65000)=   


  9. (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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orchestra answered 2 years ago
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