As part of a study of corporate employees, the director of human resources for PNC Inc. wants tocompare the distance travelled to work by employees at its downtown and midtown offices. Asample of 35 downtown employees showed they travel a mean of 595 kilometres (km) per month. Asample of 40 midtown employees showed they travel a mean of 610 km per month. The populationstandard deviations for the downtown and midtown offices are 48 km and 42 km, respectively. Isthere a difference in the mean distance travelled per month between downtown and midtown employees?
Use the five-step hypothesis testing procedure. Choose an appropriate significance level.