Question

The weight of a newborn baby is a random variable that follows a normal distribution with mean =3.2 kg and standard deviation = 0.4 kg.

a) Determine the percentage of newborn babies that weight 3.5 kg or more

b) Calculate the conditional probability that a newborn baby weighs more than 3.5 kg if it's known that it at least weights 3 kg.

c) From what weight is found the 10% of the babies that are born weighing more?

Answer #1

Birth weights of newborn babies follow a normal distribution
with mean of 3.39 kg and standard deviation of 0.55 kg. Use a table
of Z ‑critical values to find the probability that a newborn baby
weighs less than 2.125 kg. Give your answer as a percentage rounded
to two decimal places.
Probability:

The weights of newborn baby boys born at a local hospital are
believed to have a normal distribution with a mean weight of 3951
grams and a variance of 60,025 . If a newborn baby boy born at the
local hospital is randomly selected, find the probability that the
weight will be between 3485 and 4147 grams. Round your answer to
four decimal places.

baby weights following are weights in pounds for random samples
of 15 newborn baby boys and baby girls born in Denver in 2011.
boxplot indicates that the samples come from populations that are
approximately normal. let u1 denote the mean weught of boys and u2
denoted the mean weight of girls. can you conclude that the mean
weight of boys is less than the mean weight of girls? use
alpha=0.01 level and p value method with the tble boys:
5.9,6.4,7.3,6.6,7.6,7.5,6.9,7.4,6.4,6.9,6.3,6.4,6.4,7.4,7.7...

It is known that the birth weight of newborn babies in
the U.S. has a mean of 7.1 pounds with a standard deviation of 1.5
pounds. Suppose we randomly sample 36 birth certificates from the
State Health Department, and record the birth weights of these
babies.
The sampling distribution of the average birth weights
of random samples of 36 babies has a mean equal to ______ pounds
and a standard deviation of ______ pounds.
What is the probability the...

It is known that the birth weight of newborn babies in the U.S.
has a mean of 7.1 pounds with a standard deviation of 1.5 pounds.
Suppose we randomly sample 36 birth certificates from the State
Health Department, and record the birth weights of these
babies.
The sampling distribution of the average birth weights of
random samples of 36 babies has a mean equal to ______
pounds and a standard deviation of ______ pounds.
What is the probability the average...

The average mass of newborn infants born at a given hospital is
3.5 kg with standard deviation of 575 g. Assume these birth weights
follow a normal distribution.
(a) What is the probability that a newborn selected randomly
from this population has a mass of at least 4.64 kg?
(b) What is the probability that a newborn selected randomly
from this population has a mass between 3.3 kg and 3.6 kg?
(c) If 100 infants are born in one day...

In a certain country, the mean birth weight for boys 3.23 kg,
with a standard deviation of 0.58 kg. Assuming that the
distribution of birth weight is approximately normal, complete
parts a through e below.a. A baby is considered of low birth weight
if it weighs less than 2.5 kg.
a. What proportion of baby boys in this country are born with
low birth weight?
b. What is the z-score for a baby boy that weighs 1.5 kg
(defined as...

Weight Loss of Newborns An obstetrician read that a newborn baby
loses on average 7 ounces in the first two days of his or her life.
He feels that in the hospital where he works, the average weight
loss of a newborn baby is less than 7 ounces. A random sample of 33
newborn babies has a mean weight loss of 6.2 ounces. The population
standard deviation is 1.5 ounces. Is there enough evidence at
a=0.01 to support his claim?...

Question 5:
Baby weights: The weight of male babies less
than
2
months old in the United States is normally distributed with
mean
11.6
pounds and standard deviation
2.8
pounds. Use the TI-84 Plus calculator to answer the
following.
(a) What proportion of babies weigh more than
13
pounds?
(b) What proportion of babies weigh less than
15
pounds?
(c) What proportion of babies weigh between
9
and
13.2
pounds?
(d) Is it unusual for a baby to weigh more...

In a certain country, the mean birth weight for boys is 3.28kg,
with a standard deviation of 0.57kg. Assuming that the distribution
of birth weight is approximately normal, complete parts a through
e below.
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 ?
b....

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