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Name:____________________ Z-Score WSU1 D2h/wExplain in their own words what a z-score is and why it is important.A distribution of scores has a standard deviation of 10. Find the z-scores corresponding to the following values:A score that is 20 points below the mean A score that is 15 points above the mean A set of mathematics exam scores has a mean of 70 and a standard deviation of 8.? A set of English exam scores has a mean of 74 and a standard deviation of 16. For which exam would a score of 78 have a higher standing?In a population of scores a raw score with the value of 83 corresponds to a Z of +1.00 and a raw score of 86 corresponds to a Z of +2.00.? What is the mean and standard deviation of this population? The same test was given to 100,000 students in Alabama and 100,000 students in California. Assume that the scores were normally distributed in Alabama as a population, and they were normally distributed in California as a population. In the Alabama data, person A had a z-score of 1.04. In the California data, person C had a z-score of -0.42. Could person C have gotten a higher raw score on the test? Explain. You may use hypothetical raw scores to assist your explanation.Andrew and his twin sister, Andrea, are both enrolled in Common Core Math 3, but have different teachers. On the Unit 2 test, Andrew scored 82. His class average was 79 with a standard deviation of 2. Andrea scored 85. Her class average was 81 with a standard deviation of 2.5. Which student did better in respect to his or her class? ................
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