Question

For Test #1 in an undergraduate statistics course, 191 students completed the exam. The mean score was 75.8, and the standard deviation was 10.0. This is pretend data. Using this data and the z-score distribution provided in class, answer the following questions. Be sure to give your answer in the units requested. Report all answers to two decimal places if answer involves decimals.

-I mostly need help with (e-p), but it would still help to go over (a-d).

(a) How many students scored greater than 95?

(b) How many students scored less than 80?

(c) How many students scored more than 75?

(d) How many students scored less than 77?

(e) How many students scored between 80 and 85?

(f) How many students scored between 75 and 80?

(g) How many students scored between 72 and 74?

(h) What scores are so rare that they occur less than 14% of the time?

Less than:

Greater than:

(i) What scores are so unusual that they occur less than 3% of the time?

Less than:

Greater than:

(j) What scores are so deviant that they occur less than 5% of the time?

Less than:

Greater than:

(k) What scores are so rare that they occur less than 40% of the time?

Less than:

Greater than:

(l) What score is at the 55th percentile?

(m) What is the score at the 9th percentile?

(n) If you scored a 72, what is your percentile rank?

(o) If you scored a 96, what is your percentile rank?

(p) What is the score at the 85th percentile?

Answer 1