Provide an appropriate response.
-Many firms use on-the-job training to teach their employees computer programming. Suppose you work in the personnel department of a firm that just finished training a group of its employees to program, 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 81 and 3, respectively, and the distribution of
Scores is bell-shaped and symmetric. Suppose the trainee in question received a score of 77. Compute the
Traineeʹs z-score.
A)z = -1.33
B)z = 1.33
C)z = -0.91
D)z = 0.91

Question

Quizplus · Accepted Answer

To compute the z-score, we use the formula:

z = (x - mean) / standard deviation

Substituting the given values:

z = (77 - 81) / 3 = -1.33

Therefore, the trainee's z-score is -1.33. To calculate the z-score, first find the difference between the trainee's score and the mean: 77-81 = -4. Then divide that difference by the standard deviation: -4/3 = -1.33. Therefore, the trainee's z-score is -1.33, which corresponds to answer choice A.

Provide an Appropriate Response