In the United States, the mean birth weight for boys is 3.41 kg, with a standard deviation of 0.55 kg. Assuming that the distribution of birth weight is approximately normal, complete parts a thr a. A baby is considered of low birth weight if it weighs less than 2.5 kg. What proportion of baby boys in this country are born with low birth weight? The proportion of baby boys that are born with low birth weight is 0.049. (Round to three decimal places as needed.) b. What is the z-score for a baby boy that weighs 1.5 kg (defined as extremely low birth weight)? The z-score is -3.47. (Round to two decimal places as needed.) c. Typically, birth weight is between 2.5 kg and 4.0 kg. Find the probability a baby is born with typical birth weight. The probability that a baby is born with typical birth weight is 0.808. (Round to three decimal places as needed.) d. Matteo weighs 4.2 kg at birth. He falls at what percentile? The percentile that Matteo falls at is (Round to one decimal place as needed.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 4CYU
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In the United States, the mean birth weight for boys is 3.41 kg, with a standard deviation of 0.55 kg. Assuming that the distribution of birth weight is approximately normal, complete parts a through e.
a. A baby is considered of low birth weight if it weighs less than 2.5 kg. What proportion of baby boys in this country are born with low birth weight?
The proportion of baby boys that are born with a low birth weight is 0.049.
(Round to three decimal places as needed.)
b. What is the z-score for a baby boy that weighs 1.5 kg (defined as extremely low birth weight)?
..
The Z-score is - 3.47.
(Round to two decimal places as needed.)
c. Typically, birth weight is between 2.5 kg and 4.0 kg. Find the probability a baby is born with typical birth weight.
The probability that a baby is born with typical birth weight is 0.808
(Round to three decimal places as needed.)
d. Matteo weighs 4.2 kg at birth. He falls at what percentile?
The percentile that Matteo falls at is
(Round to one decimal place as needed.)
Transcribed Image Text:In the United States, the mean birth weight for boys is 3.41 kg, with a standard deviation of 0.55 kg. Assuming that the distribution of birth weight is approximately normal, complete parts a through e. a. A baby is considered of low birth weight if it weighs less than 2.5 kg. What proportion of baby boys in this country are born with low birth weight? The proportion of baby boys that are born with a low birth weight is 0.049. (Round to three decimal places as needed.) b. What is the z-score for a baby boy that weighs 1.5 kg (defined as extremely low birth weight)? .. The Z-score is - 3.47. (Round to two decimal places as needed.) c. Typically, birth weight is between 2.5 kg and 4.0 kg. Find the probability a baby is born with typical birth weight. The probability that a baby is born with typical birth weight is 0.808 (Round to three decimal places as needed.) d. Matteo weighs 4.2 kg at birth. He falls at what percentile? The percentile that Matteo falls at is (Round to one decimal place as needed.)
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