Chapter 4

Assume the following 5 scores represent a sample: 2, 3, 5, 5, 6. Transform these scores into -scores.

True or false: a. All normal distributions are symmetrical b. All normal distributions have a mean of 1.0 c. All normal distributions have a standard deviation of 1.0 d. The total area under the curve of all normal distributions is equal to 1

Transform the following -scores into a distribution with a mean of 10 and standard deviation of 2: -1.75, 2.20, 1.65, -0.95

Calculate -scores for the following raw scores taken from a population with a mean of 100 and standard deviation of 16: 112, 109, 56, 88, 135, 99

For a distribution with a standard deviation of 20, find -scores that correspond to: a. One-half of a standard deviation below the mean b. 5 points above the mean c. Three standard deviations above the mean d. 22 points below the mean

Calculate the raw score for the following -scores from a distribution with a mean of 15 and standard deviation of 3: a. 4.0 b. 2.2 c. -1.3 d. 0.46