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Part 2.(6 polnts) Normal Distributions Some 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 this year assigned 10% A grades, 80% B grades, and 10% C grades to the company's managers. Suppose Ford's performance scores really are Normally distributed. This year, managers with scores less than 150 received C grades and those with scores of at least 356 received A grades. Pertormance acores 10% 10% (2 point) What are the z scores associated with the 10th and 90h percentiles from the standard normal distribution? a. 150 356 b. (2 point) What is the mean and standard deviation of the performance scores? Show work. Winter 2019-ST 314 Data Analysis 02 (2 point) Suppose the company adds grades D and F so there are 5 categories to grade performance. If they want to give A's only to those in the top 3%, what performance score must a manager exceed to get an A? c.

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