HW7.204-W2023

MATH 204 PRINCIPLES OF STATISTICS 2 Assignment #7, due March 22, 23h59 1. Does rudeness really matter in the workplace? Refer to the Academy of Management Journal (Oct. 2007) study on rudeness in the workplace. Ninety-eight college students enrolled in a management course and were randomly assigned to one of two experimental conditions: rudeness condi- tion (where the students were berated by a facilitator for being irresponsi- ble and unprofessional) and control group (no facilitator comments). Each student was asked to write down as many uses for a brick as possible in five minutes. The data, saved in the RUDE file. (a) Show that although the data for the rudeness condition are approxi- mately Normally distributed, the control group data are skewed. (b) Conduct the appropriate non-parametric test for testing (a) at the α = 0 . 01 level of significance. (i) State the null and alternative hypotheses that you would use to determine if performance level for students in the rudeness con- dition is lower than performance level for students in the control group. (ii) Find the observed value of the test-statistic. (iii) Find the p -value of the test. (iv) State the conclusion in practical terms. (c) Explain why a two-sample t -test will also be appropriate even though the data for both groups are not Normally distributed. 2. NHTSA new car crash tests. Refer to the National NW Highway Traffic Safety Administration (NHTSA) crash test data on new cars, saved in the CRASH2 file. Crash test dummies were placed in the driver’s seat and front passenger’s seat of a new car model, and the car was steered by remote control into a head-on collision with a fixed barrier while traveling at 35 miles per hour. Two of the variables measured for each of the 98 new cars in the data set are (1) the severity of the driver’s chest injury and (2) the severity of the passenger’s chest injury. (The more points assigned to the chest injury rating, the more severe the injury is). Suppose that we want to conduct a non-parametric test to determine whether the driver chest injury ratings exceed the passenger chest injury ratings. Conduct the appropriate non-parametric test at the α = 0 . 01 level of significance. (i) State the null and alternative hypotheses of interest. (ii) Find the observed value of the test-statistic. 1