1. A sample of N = 10 scores has a mean of 16. If one score with a value of X = 7 is removed from the sample, what is the mean of the remaining set of scores?

2. Compute the variance and standard deviation for the following scores: 4, 11, 3, 7, 5

3. For a distribution with = 80 and = 10, find the z-score that corresponds to each of the following x-values: 80, 95, 75

4. For a distribution with = 50 and = 5, find the x-value that corresponds to each of the following z-scores: 1.50, -2.00, -0.20

5. On an exam with = 85 and = 15, Anna scored 6 points below the mean, James scored an 82, and Emily had a z-score of 1.00. Rank these students in order from lowest to highest score.

6. A distribution of scores with 1 = 82 and 1 = 8 is standardized to create a new distribution with 2 = 100 and 2 = 10. What is the new value for each of the following scores from the original distribution: 74, 90, 94

7. The average height of adult men is approximately normally distributed with a mean of 70 inches and a standard deviation of 3 inches. What proportion of men are: a. Taller than 71.5 inches? b. Shorter than 65.5 inches? c. Taller than 79 inches?

8. Suppose we are taking samples from a normally distributed population with = 64 and = 8. What is the probability of obtaining a sample mean less than 60 for a sample of size 16?