23. Find the z-scores that correspond to each value. The ACT is an exam used by...

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23. Find the z-scores that correspond to each value. The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distributed. In a recent year, the mean test score was 21.1 and the standard deviation was 5.3. The test scores of four students selected at random are 15, 22, 9, and 35. (Source: ACT, Inc.) 24. In a survey of U.S. women, the heights in the 20-29 age group were normally distributed, with a mean of 64.2 inches and a standard deviation of 2.9 inches. Find the probability that a randomly selected study participant has a height that is (a) less than 56.5 inches, (b) between 61 and 67 inches, and (c) more than 70.5 inches. (Adapted from National Center for Health Statistics) 25. Find the z-score that corresponds to the cumulative area or percentile. (a) 0.4364 (b) P67 (the 67th percentile) (c) P40 (the 40th percentile) 26. Find the indicated z-score shown in the graph. 0 z = ? Area = 0.0233 23. Find the z-scores that correspond to each value. The ACT is an exam used by colleges and universities to evaluate undergraduate applicants. The test scores are normally distributed. In a recent year, the mean test score was 21.1 and the standard deviation was 5.3. The test scores of four students selected at random are 15, 22, 9, and 35. (Source: ACT, Inc.) 24. In a survey of U.S. women, the heights in the 20-29 age group were normally distributed, with a mean of 64.2 inches and a standard deviation of 2.9 inches. Find the probability that a randomly selected study participant has a height that is (a) less than 56.5 inches, (b) between 61 and 67 inches, and (c) more than 70.5 inches. (Adapted from National Center for Health Statistics) 25. Find the z-score that corresponds to the cumulative area or percentile. (a) 0.4364 (b) P67 (the 67th percentile) (c) P40 (the 40th percentile) 26. Find the indicated z-score shown in the graph. 0 z = ? Area = 0.0233