negatively skewed distribution has = 60, = 10. If this entire distribution is transformed into z-scores, describe the shape, mean, and standard deviation for the resulting distribution of z-scores. A distribution of scores has a mean of = 500. In this distribution, a score of X = 550 is located 50 points above the mean. Assume the standard deviation is = 25. Sketch the distribution and locate the position of X = 550. What is the z-score corresponding to X = 550 in this distribution? Assume the standard deviation is = 100. Sketch the distribution and locate the position of X = 550. What is the z-score corresponding to X = 550 in this distribution? A distribution of scores has = 85. The z-score for X = 105 is computed and a value of z = -1.00. Regardless of the value of the standard deviation, why must this z-score be incorrect?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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  1. A negatively skewed distribution has = 60,  = 10.  If this entire distribution is transformed into z-scores, describe the shape, mean, and standard deviation for the resulting distribution of z-scores.
  2. A distribution of scores has a mean of = 500. In this distribution, a score of X = 550 is located 50 points above the mean.
    1. Assume the standard deviation is = 25.  Sketch the distribution and locate the position of X = 550. What is the z-score corresponding to X = 550 in this distribution?
    2. Assume the standard deviation is = 100.  Sketch the distribution and locate the position of X = 550. What is the z-score corresponding to X = 550 in this distribution?
  3. A distribution of scores has = 85.  The z-score for X = 105 is computed and a value of z = -1.00.  Regardless of the value of the standard deviation, why must this z-score be incorrect?
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