New employees at a large corporation go through a training program during their first week of employment. The new employees take
a written assessment at the completion of the program to determine how well prepared they are for their jobs. A score greater than the mean indicates a well-prepared employee. Assume the following distributions of new employee scores have the same mean score, the same maximum score, and the same minimum score. Which distribution has a shape that is most likely to represent the greatest percent of well-prepared employees? a) The distribution of scores is skewed to the right.
b) The distribution of scores is skewed to the left.
c) The distribution of scores is bimodal and symmetric.
d) The distribution of scores is uniform.
e) The distribution of scores is approximately normal.
a) The distribution of scores is skewed to the right.
Step-by-step explanation:
From the given information.
A skewed distribution usually showcases that one tail of a distribution is longer than the other. The distribution of scores showing the greatest pattern of well-prepared emploiyees signifies that the right tail of the distribution is longer than then the left tail. Hence,the shape of the distribution is positively sweked to the right.
B) The distribution of scores is skewed to the left.
Step-by-step explanation:
If a score greater than the mean indicates a well-prepared employee, that means the mean has to be less than the median in order to have a distribution with a shape that is most likely to represent the greatest percent of well-prepared employees. The only distribution with the median greater than the mean is in a left skewed distribution.
