8. The interpersonal Reactivity Index is a survey designed to asses four different types of empathy….

8. The interpersonal Reactivity Index is a survey designed to asses four different types of empathy. One type of empathy, called Empathetic Concern, measures the tendency to feel sympathy and compassion for people who are less fortunate. The index ranges from 0 (less empathetic) to 28 (more empathetic). The following data representing random samples of 16 males and 16 males, are consistent with results reported in psychological studies. Boxplots show that is reasonable to assume that the populations are approximately normal MALES 21 17 23 13 15 26 23 13 8 20 15 12 18 16 25 FEMALES 19 25 16 19 24 26 25 28 20 26 23 2123 15 20 a) Can you conclude that there is a difference in mean empathy scores between men and women? Use 5% significance level. Construct a 95% confidence level for the mean difference in empathy scores between men and women. b)