As reported by a recent survey, the mean height of females 20 to 29 years old is
ID: 3303742 • Letter: A
Question
As reported by a recent survey, the mean height of females 20 to 29 years old is -63 9 i che following questions. l te he is appro m te y n naly de it ted with : 27 nches, Click the icon to view a table of areas under the normal arve (a) What is the percentile rank of a 20-to 29-year-old female who is 60.5 inches tall? 10 th percentile (Round to the nearest integer as needed ) (b) What is the percentile rank of a 20-to 29-year-old female who is 69 8 inches tall? th percentile (Round to the nearest integer as needed) Enter your answer in the answer box and then click Check Answer remaining Type here to searchExplanation / Answer
= 63.9 = 2.7
(a) X = + Z
60.5 = 63.9 + 2.7Z
=> Z = (60.5-63.9)/2.7
=> Z = -1.2593
Using the tables, the percentile is 0.1038 or 10th percentile.
(b) X = + Z
69.8 = 63.9 + 2.7Z
=> Z = (69.8-63.9)/2.7
=> Z = 2.1852
Using the tables, the percentile is 0.9856 or 99th percentile.
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