Z-scores and comparisons of admiration ratings: A group of students were asked to rate their admiration of three famous women on a from 1 to 7: they rated Hillary Clinton (former Secretary of State, Senator, and first lady), Venus Williams (world-famous tennis player and Olympian), and Jennifer Lopez (actor, singer, and former American Idol judge). The mean rating of Clinton was 4.06, with a standard deviation of 1.70. The mean rating of Williams was 4.58, with a standard deviation of 1.46. The mean rating of Lopez was 3.72, with a standard deviation of 1.90. One student rated her admiration of both Clinton and Williams at 5 and her admiration of Lopez at 4.

1. What is the student's z score for her rating of Clinton?

2. What is the student's z score for her rating of Williams?

3. What is the student's z score for her rating of Lopez?