answers

Chapter 4 Activity Instructions: Show all work when applicable. This can be done online or by hand. Once completed, upload activity to Canvas as a Word or PDF file or take a picture if done by hand. 1. 113 What are the two pieces of information contained in a z score? A z score takes a raw score and standardizes it into units of Assume the following five scores represent a sample: 2, 3, 5, 5, 6. Transform these scores into z 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. Interpret the location and distance (near or far) of the following z scores: a. -2.00 b. 1.25 c. 3.50 d. -0.34 Transform the following z scores into a distribution with a mean of 10 and standard deviation of 2: =1.75, 2.20, 1.65, -0.95 Calculate z 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 What does a z score of 0.00 represent? For a distribution with a standard deviation of 20, find z 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 z 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