Using all 1991 birth records in the computerized national birth certificate Center for Health Statistics (NCHS), statisticians Traci Clemons and Marce weights of babies in the United States are not symmetric ("Are babies no Nov 1999, 53:4). However, they also found that when infants born outside infants born to mothers with a history of diabetes are excluded, the birtl do follow a Normal model with mean p = 3432 g and standard deviation o refer to infants born from 37 to 43 weeks whose mothers did not have a Compute the z-score of an infant who weighs 3478 g. (Round your answe

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Using all 1991 birth records in the computerized national birth certificate registry compiled by the National
Center for Health Statistics (NCHS), statisticians Traci Clemons and Marcello Pagano found that the birth
weights of babies in the United States are not symmetric ("Are babies normal?" The American Statistician,
Nov 1999, 53:4). However, they also found that when infants born outside of the "typical" 37-43 weeks and
infants born to mothers with a history of diabetes are excluded, the birth weights of the remaining infants
do follow a Normal model with meanp = 3432 g and standard deviation o = 482 g. The following questions
refer to infants born from 37 to 43 weeks whose mothers did not have a history of diabetes.
Compute the z-score of an infant who weighs 3478 g. (Round your answer to two decimal places.)
Approximately what fraction of infants would you expect to have birth weights between 3160 g and 4590 g?
(Express your answer as a decimal, not a percent, and round to three decimal places.)
Approximately what fraction of infants would you expect to have birth weights above 4590 g? (Express your
answer as a decimal, not a percent, and round to three decimal places.)
A medical researcher wishes to study infants with low birth weights and seeks infants with birth weights
among the lowest 10%. Below what weight must an infant's birth weight be in order for the infant be
included in the study? (Round your answer to the nearest gram.)
on
Transcribed Image Text:Using all 1991 birth records in the computerized national birth certificate registry compiled by the National Center for Health Statistics (NCHS), statisticians Traci Clemons and Marcello Pagano found that the birth weights of babies in the United States are not symmetric ("Are babies normal?" The American Statistician, Nov 1999, 53:4). However, they also found that when infants born outside of the "typical" 37-43 weeks and infants born to mothers with a history of diabetes are excluded, the birth weights of the remaining infants do follow a Normal model with meanp = 3432 g and standard deviation o = 482 g. The following questions refer to infants born from 37 to 43 weeks whose mothers did not have a history of diabetes. Compute the z-score of an infant who weighs 3478 g. (Round your answer to two decimal places.) Approximately what fraction of infants would you expect to have birth weights between 3160 g and 4590 g? (Express your answer as a decimal, not a percent, and round to three decimal places.) Approximately what fraction of infants would you expect to have birth weights above 4590 g? (Express your answer as a decimal, not a percent, and round to three decimal places.) A medical researcher wishes to study infants with low birth weights and seeks infants with birth weights among the lowest 10%. Below what weight must an infant's birth weight be in order for the infant be included in the study? (Round your answer to the nearest gram.) on
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