Studies have established that rudeness in the workplace can lead to retaliatory and counterproductive behavior. In one study, College students enrolled in a management course were randomly assigned to one of two experimental conditions: rudeness condition (45 students) and control group (53 students). Each student was asked to write down as many uses for a brick as possible in 5 minutes. For those students in the rudeness condition, the facilitator displayed rudeness by generally berating students for being irresponsible and unprofessional (due to a late-arriving confederate). No comments were made about the late-arriving confederate to students in the control group. The number of different uses for a brick was recorded for each of the 98 students. For rudeness condition group, the sample mean is 8.511, sample standard deviation is 3.992; for control group, the sample mean is 11.81, sample standard deviation is 7.38; Conduct a statistical analysis (at a = .01) to determine if the true mean performance level for students in the rudeness condition is lower than the true mean performance level for students in the control group.