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 3.6 kg at birth. He falls at what percentile? The percentile that Matteo falls at is 63.7. (Round to one decimal place as needed.) e. Max's parents are told that their newborn son falls at the 79th percentile. How much does Max weigh? Max weighs kg. (Round to two decimal places as needed.)
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 3.6 kg at birth. He falls at what percentile? The percentile that Matteo falls at is 63.7. (Round to one decimal place as needed.) e. Max's parents are told that their newborn son falls at the 79th percentile. How much does Max weigh? Max weighs kg. (Round to two decimal places as needed.)
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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 3.6 kg at birth. He falls at what percentile?
The percentile that Matteo falls at is 63.7.
(Round to one decimal place as needed.)
e. Max's parents are told that their newborn son falls at the 79th percentile. How much does Max weigh?
Max weighs kg.
(Round to two decimal places as needed.)
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