ASSIGNMENT

For the following questions on standard scores, be sure to show all your work covering all five steps of the process including:

1. Draw the distribution
2. The appropriate formula
3. Substitution
4. Solve

1. For a sample with a mean of 5 and SD of 1.4, what are the z-score associated with X = 5.5 and X = 4.75?

2. For a population with a mean of 10 and a SD of 0.25, what are the raw scores associated with z = .20 and z = -1.90?

3. For a sample with a Mean of 25, a score of X = 35 corresponds to z = 1.4.What is the sample SD?

4. For a population with a SD of 8, a score of X = 18 corresponds to z = -.65.What is the population mean?

5. Given that a score of X = -4.82 corresponds to z = 1.15 and a score of X = - 9.32 corresponds to z = -1.1, what is the mean and standard deviation for the population? Use both values of X to determine the Mean.

6. The Scholastic Aptitude Test is a standardized test with a mean of 500 and a standard deviation of 100. If the SAT was perfectly related to intelligence, what IQ scores would be expected for SAT = 580 and SAT = 280? You should assume populations in this question.

7. Continuing from question 6, what SAT scores would you expect to be associated with IQ = 125 and IQ = 80?