1. (a) Find the z-score for test score of 89 on a test that has a mean of 79 and a standard deviation of 9. (Give your answer correct to two decimal places.) (b) Find the z-score for test score of 67 on a test that has a mean of 79 and a standard deviation of 9. (Give your answer correct to two decimal places.) 2 A sample has a mean of 55 and a standard deviation of 8.9. (a) Find the z-score for each value of x = 52. (Give your answer correct to two decimal places.) (b) Find the z-score for each value of x = 59. (Give your answer correct to two decimal places.) (c) (a) Find the z-score for each value of x = 49. (Give your answer correct to two decimal places.) (d) (a) Find the z-score for each value of x = 40. (Give your answer correct to two decimal places.)
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Part II. Calculating z-scores 1. Three students take equivalent stress tests. Which is the highest relative score (meaning which has the largest z score value)? a. A score of 144 on a test with a mean of 128 and a standard deviation of 34. b. A score of 90 on a test with a mean of 86 and a standard deviation of 18. c. A score of 18 on a test with a mean of 15 and a standard deviation of 5. 2. A normal distribution of scores has a standard deviation of 10. Find the z-scores corresponding to each of the following values: a) A score that is 20 points above the mean. b) A score that is 10 points below the mean c) A score that is 15 points above the mean d) A score that is 30 points below the mean.
Thuc N.
A set of exam scores are reported as X values and Z-scores. On this exam, a score of x = 75 corresponds to a z-score of z = 1 and x = 60 corresponds to a z-score of z = -0.5. What score (in terms of X-values rounded to the nearest whole number) would be in the upper 8% of all exam scores? (Hint: First find values for the mean and standard deviation for this exam)
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A standardized exam's scores are normally distributed. In a recent year, the mean test score was 20.7 and the standard deviation was 5.6. The test scores of four students selected at random are 15, 21, 7, and 35. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 15 is ? (Round to two decimal places as needed.) The z-score for 21 is ? (Round to two decimal places as needed.) The z-score for 7 is ? (Round to two decimal places as needed.) The z-score for 35 is ? (Round to two decimal places as needed.) Which values, if any, are unusual? Select the correct choice below and, if necessary, fill in the answer box within your choice. A.The unusual value(s) is/are nothing. (Use a comma to separate answers as needed.) B. None of the values are unusual.
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