In: Statistics and Probability
Suppose annual salaries for sales associates from Geoff's Computer Shack have a mean of $32,500 and a standard deviation of $2,500.
a. | Calculate and interpret the z-score for a sales associate who makes $36,000. |
b. | Suppose that the distribution of annual salaries for sales associates at this store is bell-shaped. Use the empirical rule to calculate the percentage of sales associates with salaries between $27,500 and $37,500. |
c. | Use the empirical rule to determine the percentage of sales associates with salaries less than $27,500. |
d. | Still suppose that the distribution of annual salaries for sales associates at this store is bell-shaped. A sales associate makes $42,000. Should this salary be considered an outlier? Explain. |