This assignment explores using raw data to calculate z-scores and the area under the normal curve associated with those scores.

Step 1: Answer the following questions.

Use the Standard Normal Distribution Table for reference. Draw a graph and shade the appropriate region.

1. 1. Calculate the z score for each datum. 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 between z= -1.15 and z = - 1.35.

3. Find the area between z = -.35 and z = .35.

4. Find the area between z = 1.05 and z = 1.55.

5. Find the area beyond z = 1.30.

6. Find the z-score such that the area to the left is 0.7123.

7. Find the z-score such that the area to the right is 0.9788