Question: Over the past few years 225 students enrolled in sections of class I’ve taught have completed the final test of three tests administered in that course. The overall mean is 83.9 with a standard deviation of 10.8. These data are nearly normal in distribution; given this answer the following questions:

(a) What percentage of students will score 83.9 or higher on this test?

(b) What percentage of students will score better than 73.1?

(c) What percentage of students will score lower than 78.5?

(d) What is the percentile rank for a student with a score of 83.9?

(e) What is the percentile rank for a student with a score of 73.1?

(f) What is the percentile rank for a student with a score of 78.5?

(g) What is the raw test 3 score for a student with a z score of 1.5?

(h) What is the raw test 3 score for a student with a z score of –0.75?

(i) What is the raw test 3 score for a student with a z score of 0.00?