Assignment Overview
This assignment explores using raw data to calculate z-scores and the area under the normal curve associated with those scores.
Deliverables
Answers to exercise questions.
Step 1 Answer the following questions.
Use the Standard Normal Distribution Table for reference "Standard Normal Distribution Table (Links to an external site.)"
1. Calculate the z score for each set of data. Determine who did better on her respective test, Tonya or Lisa.
|
Student
|
English Test Grade
|
z-Score
|
Student
|
Math Test Grade
|
z-Score
|
|
John
|
82
|
|
Jim
|
81
|
|
|
Julie
|
88
|
|
Jordan
|
85
|
|
|
Samuel
|
90
|
|
Saye
|
79
|
|
|
Tonya
|
86
|
|
Lisa
|
82
|
|
|
Mean
|
86.50
|
|
81.75
|
|
|
St. Dev.
|
3.42
|
2.50
|
Given the above information, predict the raw score for a student whose z-score in the Math test is .98.
2. Find the area associated with this section of the curve: area between z = -1.15 and z = -1.35.
3. Find the area associated with this section of the curve: area between z = -.35 and z = .35.
4. Find the area associated with this section of the curve: area between z = 1.05 and z = 1.55.
5. Find the area associated with this section of the curve: the area beyond z = 1.30.