Zscores and comparisons of admiration ratings: our statistics students were asked to rate their admira- tion of hillary clinton on a scale of 1 to 7. they also were asked to rate their admiration of actor, singer, and former american idol judge jennifer lopez and their admiration of tennis player venus williams on a scale of 1 to 7. as noted earlier, the mean rating of clinton was 4.06, with a standard deviation of 1.70. the mean rating of lopez was 3.72, with a standard deviation of 1.90. the mean rating of williams was 4.58, with a standard deviation of 1.46. one of our students rated her admiration of clinton and williams at 5 and her admiration of lopez at 4. a. what is the student’s z score for her rating of clinton? b. what is the student’s z score for her rating of williams? c. what is the student’s z score for her rating of lopez? d. compared to the other statistics students in our sample, which celebrity does this student most ad- mire? (we can tell by her raw scores that she prefers clinton and williams to lopez, but when we take into account the general perception of these celebri- ties, how does this student feel about each one? ) e. how do z scores allow us to make comparisons that we cannot make with raw scores? that is, describe the benefits of standardization.