The verbal subtest of the Graduate Record Examination (GRE) has a population mean of 500 and a population standard deviation of 100 by design (the quantitative subtest has the same mean and standard deviation).
a. Convert the following z scores to raw scores without using a formula: (i) 1.5, (ii) -0.5, (iii) -2.0.
b. Now convert the same z scores to raw scores using symbolic notation and the formula: (i) 1.5, (ii) 0.5, (iii) -2.0.