Instructions: Show all work. Be sure to label diagrams (must show even distribut
ID: 3363293 • Letter: I
Question
Instructions: Show all work. Be sure to label diagrams (must show even distribution graph with labels for each section) and include your probability and calculator statements.
3 – The mean grade on a statistics problem set was 70 and the standard deviation was 7.
a - The top 8% of the students will receive an “A” on the problem set. What is the minimum grade that a student must get in order to receive an “A”? (round to the nearest whole number grade.)
b - If the passing grade is 60, what percent of the class will pass? Round to the nearest percentage.
c - Find the problem set score that lands at the 60th percentile.
Explanation / Answer
a) Mean = 70, SD = 7
z for top 8% = 1.4
(x - 70)/7 = 1.4
x = 79.8
b) z = (60 - 70)/7
Z = - 1.43
P = 92.36% will pass
c) z for 60% = 0.25
(x - 70)/7 = 0.25
z = 71.75