Stats Problem: Many companies grade on a curve....

[gsolver95]

Challenge Question

Many companies "grade on a bell curve" to compare the performance of their managers and professional workers. This forces the use of some low performance ratings so that not all workers are listed as "above average." Ford Motor Company's "performance management process" for a time assigned 10% A grades, 80% B grades, and 10% C grades to the company's 18,000 managers.

Suppose that Ford's performance scores really are Normally distributed. This year, managers with scores less than 27 received C's and those with scores above 777 received A's. What are the mean and standard deviation of the scores?

μ=__________________points σ=__________________points

 

[stapel]

Many companies "grade on a bell curve" to compare the performance of their managers and professional workers. This forces the use of some low performance ratings so that not all workers are listed as "above average." Ford Motor Company's "performance management process" for a time assigned 10% A grades, 80% B grades, and 10% C grades to the company's 18,000 managers.

Suppose that Ford's performance scores really are Normally distributed. This year, managers with scores less than 27 received C's and those with scores above 777 received A's. What are the mean and standard deviation of the scores?

What are your thoughts? What have you tried? How far have you gotten? Where are you stuck?

For instance, you noted the cutoff values for A's and C's, you noted that the mean must be midway between these value, and... then what?

Please be complete. Thank you!