Assume critical reading scores for a standardized test are distributed as N(540, 100). Complete parts (a) through (d) below. a. Find the test score at the 75th percentile. The 75th percentile is _______. (Round to the nearest integer as needed.) b. Find the test score at the 25th percentile. The 25th percentile is _______. (Round to the nearest integer as needed.) c. Find the interquartile range for test scores. The interquartile range is _______. (Round to the nearest integer as needed.) d. Is the interquartile range larger or smaller than the standard deviation? The interquartile range is (larger or smaller) than the standard deviation.
Added by Jesse D.
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The z-score for the 75th percentile is approximately 0.6745. Test score at the 75th percentile = mean + (z-score * standard deviation) = 540 + (0.6745 * 100) = 540 + 67.45 = 607.45. Rounded to the nearest integer, this is 607. b. Show more…
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