7.40 The z distribution and statistics test scores: Imagine that your statistics professor lost all records of students’ raw scores on a recent test. However, she did record students’ z scores for the test, as well as the class average of 41 out of 50 points and the standard deviation of 3 points (treat these as population parameters). She informs you that your z score was 1.10.

a. What was your percentile score on this test?

b. Using what you know about z scores and percentiles, how did you do on this test?

c. What was your original test score?