Question

Birth weights in the United States have a distribution that is approximately normal with a mean of 3396 g and a standard deviation of 576 g. Apply Table A-2 or statistics technology you can use to answer the following questions:

(a) One definition of a premature baby is the the birth weight is below 2500 g. If a baby is randomly selected, find the probability of a birth weight below 2500 g.

(b) Another definition of a premature baby is that the birth weight is in the bottom 10%. Find the birth weight that is the cutoff between the bottom 10% and the top 90%.

(c) A definition of a "very low birth weight" is one that is less than 1500 g. If a baby is randomly selected, find the probability of a "very low birth weight".

(d) If 25 babies are randomly selected, find the probability that the mean of their mean weight is greater than 3400 g.

Answer #1

Birth weights in the United States have a distribution that is
approximately normal with a mean of 3396 g and a standard deviation
of 576 g. Apply Table A-2 or statistics technology you can use to
answer the following questions:
(a) One definition of a premature baby is the the birth weight
is below 2500 g. If a baby is randomly selected, find the
probability of a birth weight below 2500 g.
(b) Another definition of a premature baby is...

Suppose that the birth weights of infants are Normally
distributed with mean 120 ounces
and a standard deviation of 18 ounces. (Note: 1 pound = 16
ounces.)
a) Find the probability that a randomly selected infant will
weight less than 5 pounds.
b) What percent of babies weigh between 8 and 10 pounds at
birth?
c) How much would a baby have to weigh at birth in order for
him to weight in the top
10% of all infants?
d)...

low-birth-weight babies - Researchers in Norway an-
alyzed data on the birth weights of 400,000 newborns
over a 6-year period. The distribution of birth weights
is Normal with a mean of 3668 grams and a standard
deviation of 511 grams.Babies that weigh less than
2500 grams at birth are classified as “low birth weight.”
(a) What percent of babies will be identified as low birth
weight?
(b) Find the quartiles of the birth weight distribution.

Birth weights in the USA are normally distributed with mean of
3420 g and standard deviation of 495g. Find the probability that a
randomly selected baby weight is between 2450g and 4390g.

Birth weights at a local hospital have a Normal distribution
with a mean of 110 oz and a standard deviation of 15 oz. You take a
random sample of babies born at the hospital and find the mean
weight. What is the probability that the mean weight will be
between 111 and 114 in a sample of 50 babies born at this hospital?
Round to 3 decimal places.

The distribution of weights of United States pennies is
approximately normal with a mean (m) of 2.5 grams and a standard
deviation (s) of 0.03 grams.
a. What is the probability that a randomly selected penny weighs
less than 2.4 grams?
b. Describe the sampling distribution of the mean weight of 9
randomly chosen pennies?
c. What is the probability that the mean weight of 9 randomly
chosen pennies is less than 2.49 grams?
d. Sketch the two distributions (population...

4. Suppose the birth weights of babies in the USA are normally
distributed, with mean 7.47 lb and standard deviation 1.21 lb. a.
Find the probability that a randomly chosen baby weighed between
6.4 and 8.1 pounds. (Show work.) b. Suppose a hospital wants to try
a new intervention for the smallest 4% of babies (those with the
lowest birth weights). What birth weight in pounds is the largest
that would qualify for this group? (Show your work.)

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 mean birth weight of babies at University of Maryland
Hospital is 3152.0 g with a standard deviation of 693.4 g. a. Low
birth weight babies need extra medical care, and the hospital does
special screening on babies below the 15th percentile of weights.
Below what weight should babies receive the extra screening? b. For
high birth weights, the hospital screens the mothers for
gestational diabetes. What is the cut off weight for the top 10% of
babies? c. What...

The table below gives the birth weights of five randomly
selected mothers and the birth weights of their babies. Using this
data, consider the equation of the regression line, yˆ=b0+b1x, for
predicting the birth weight of a baby based on the mother's birth
weight. Keep in mind, the correlation coefficient may or may not be
statistically significant for the data given. Remember, in
practice, it would not be appropriate to use the regression line to
make a prediction if the...

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