2. Suppose you are interested in the difference in average life span between white and black people. You randomly survey death records of 120 white people, the mean life span was 77.6 years with a standard deviation of 12.1 years. Of the 87 black people, the mean life span was 71.8 years with a standard deviation of 16.3 years. Estimate the average difference in lifespan for white and black people using a 90% confidence level. Show all five steps of the confidence interval process. 3. Suppose you would like to know if there is a difference between how crime is depicted in the news and what crime looks like in reality. You find that in 148 news reports of crime, 54 involved a black suspect and a white victim. Of the 110 crime reports you randomly survey, only 18 truly involve a black suspect and a white victim. Is there a significant difference between the crime rates of black suspects with white victims depicted in the news and the crime rates of black suspects with white victims, at a 1% level of significance? Show all steps of conducting a hypothesis test