The population of employees of a national fast-food chain has a mean age of 19.1 years with a standard deviation of 1.6 years.
(a) Determine and interpret the z-score of a 20 year-old employee.
(b) Determine and interpret the z-score of a 17 year-old employee.
(c) Would a 22 year-old employee be considered an outlier age-wise? Why or why not?
(d) Would a 25 year-old employee be considered an outlier age-wise? Why or why not?
(e) Apply Chebyshev's Theorem to make two statements about the ages of the employees of the chain.