Instructions: Complete the problems below. Please complete your work manually and upload a picture to the assignment tab. You must show all work for full credit. Round your answers to the nearest 1/100th. Each question is worth 1.25 points
Calculate the following Z-scores, then draw and label a sketch for each example.
Formula: X – mean/standard deviation
1. Depression scores for clients are normally distributed with a mean of 18 and a standard deviation of 3.2. Calculate the z-scores for each of the depression scores below. Draw and label a sketch for each example.
a. 20
b. 13
c. 25
d. 8
2. SAT scores for students are normally distributed with a mean of 960 and a standard deviation of 205. Calculate the z-scores for each of the SAT scores below. Draw and label a sketch for each example.
a. 1160
b. 820
c. 740
d. 1250
The total probability for the normal distribution is 1.00 or 100%.
Understanding that the Z-table gives us only “less than” probabilities, you may have to use simple math to find the difference in probabilities.
3. Using the table in your statistics book (pages 327-328 OR 115-118-which gives you both sides of the curve), find the answer to the following:
a. What is P (Z < 1.6)?
b. What is P (Z < 0.9)?
c. What is P (-0.5 < Z < 1.0)?
d. What is P (-1.6 < Z < 1.0)?
