Directions: All questions pertain to normally distributed data. Grab your Z-Score Tables. You can also solve these problems with a graphing calculator.

1.
Find the probability, expressed to the nearest percent, that a variable has a z-score less than 0.42.
Choose:
 65% 66% 67% 68%

2.
A normally distributed population of scores has a mean of 78 and a standard deviation of 3.5. Convert a score of 72 to an equivalent z-score.
Choose:
 1.71 0.0436 -1.71 -0.0436

3.
Find the area between the mean and a z-score of 1.45.
Choose:
 0.9265 0.4265 -0.9265 -0.4265

4.
Find the percent of data falling below a z-score
of -0.28.
Choose:
 19% 38.97% 20% 41.68%

5.
A normally distributed set of test scores has a standard deviation of 8. Find the z-score of a test score of 65 if the mean of the data set of test scores is 42.
Choose:
 2.875 5.75 -5.75 -2.875

6.
Standardized test scores are normally distributed.
The data set of test scores has μ = 240 and
σ = 25.
a)Find the z-score corresponding to the test score of 350.
Choose:
 4.4 4.42 4.44 4.46

b) If a z-score has the value of 3.4, find its corresponding test score.
Choose:
 155 210 265 325

7.
Find the area between a z-score of -1.25 and a z-score of +2.33.
Choose:
 0.9901 0.1056 0.8845 1.0957

8.
The temperature is recorded in 65 cities on a given day in California. The average temperature is 74 degrees Fahrenheit with a standard deviation of 4 degrees. What is the z-score for a temperature of 71 degrees?
Choose:
 0.75 -0.75 2.25 -2.25

9.
Find the area above a z-score of 0.57.
Choose:
 1.7157 0.7157 -0.2843 0.2843

10.
The femur bone in the African antelope has a mean length of 1.5 feet with a standard deviation of 2 inches. Find the z-score that corresponds to a length of 21 inches.
Choose:
 6 5.5 3 1.5