Suppose annual salaries for sales associates from a particular store have a mean
ID: 1102163 • Letter: S
Question
Suppose annual salaries for sales associates from a particular store have a mean of $32,500 and a standard deviation of $2,500.
a. Calculate the number of standard deviations a sales associates salary of $36,000 is from the mean salary.
_______ (round to one decimal place)
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.
________ (round to the nearest whole number)
c. Use the empirical rule to determine the percentage of sales associates with salaries less than $27,500.
_________ (round to the nearest whole number)
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?
__________ (yes or no)
Explanation / Answer
a) (36,000-32,500)/2,500= 1.4
b) 95% (2 standard deviations either side)
c) 2.5% (more than 2 standard deviations below the mean)
d) yes, (more than 3 standard deviations above the mean)