8) Many firms use on-the-job training to teach their employees new software. Sup

Question

8) Many firms use on-the-job training to teach their employees new software. Suppose you work in the personnel department of a firm that just finished training a group of its employees in new software, and you have been requested to review the performance of one of the trainees on the final test that was given to all trainees. The mean and standard deviation of the test scores are 71 and 3, respectively, and the distribution of scores is bell shaped. What percentage of test-takers scored better than a trainee who scored 68? rtandardized test have a bell-shaped distribution with a mean of 100 a i otudents with sc

Explanation / Answer

given mean=71
             standard deviation=3
    P(x=68)=X-mean/standarddeviation
                      =68-71/3
                      =-1
The percentage of test takers scored betterthan a trainee who scored 68 is
P(X>68)=1-P(Z<-1)
             =1-NORMSDIST(-1)
           =1-0.1586

              =0.8414
The percentage of test takers scored betterthan a trainee who scored 68 is is 84.14%

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