Question

- 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 birth weight of a random sample of 36 babies is less than 7.7 pounds? _______

- What is the probability the average birth weight of a random sample of 36 babies is between 6.9 pounds and 7.5 pounds? _______

Answer #1

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...

Statistics Canada reports that the birth weight of newborn
babies in Saskatchewan has a mean of 3.45 kg for both sexes.
Suppose the standard deviation is 0.7 kg. Further we randomly
sample 49 birth certifi- cates in Saskatchewan and record the birth
weights of samples babies. Find the mean and standard deviation of
the sampling distribution of x ̄. What is the probability that
sample mean birth weight will be less than 3.25 kg?

The birth weight of newborn babies is normally distributed with
a mean of 7.5 lbs and a standard deviation of 1.2 lbs.
a. Find the probability that a randomly selected newborn baby
weighs between 5.9 and 8.1 pounds. Round your answer to 4 decimal
places.
b. How much would a newborn baby have to weigh to be in the top
6% for birth weight? Round your answer to 1 decimal place.

Birth weight, in grams, of newborn babies are normally
distributed with a mean of 3290 grams and a standard deviation of
520 grams. Find the percentage of newborns that weigh between 3000
and 4000 grams. Consider again the birth weights of newborn babies,
where the mean weight is 3290 grams and the standard deviation is
520 grams. Find the weight, in grams, that would separate the
smallest 4% of weights of newborns from the rest.

Some sources report that the weights of full-term newborn babies
have a mean of 6.5 pounds. A pediatrician believes that the average
weight of full-term newborn baby is slightly increased. A random
sample of 30 full-term newborn baby is selected with an average
weight of 7 pounds and a standard deviation of 0.8 pounds. Conduct
the hypothesis test at 5% significance level.

Problem 4 –Weights of newborn babies
Paediatricians measure the weights of newborn babies to
closely monitor their growth in the first six months of their life.
A study reveals that weights of newborn babies are normally
distributed with a mean of 3.2kg and a standard deviation of
0.4kg.
a) Find the probability that a randomly selected newborn baby
would have a weight more than 3.5kg. Display working. 1 mark
b) Eight newborn babies are randomly selected. What is the
probability...

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)...

Some sources report that the weights of full-term newborn babies
in a certain town have a mean of 7 pounds and a standard deviation
of 0.6 pounds and are normally distributed.
a. What is the probability that one newborn baby will have a
weight within 0.6 pounds of the mean is, between 6.4 and 7.6
pounds, or within one standard deviation of the mean?
b. What is the probability that the average of four babies'
weights will be within 0.6...

Assume that newborn girls have birth weights with a mean of 3058
grams and a standard deviation of 704 grams. A random sample of 100
newborn girls is obtained and they have a mean birth weight of 2855
grams. What is the probability of randomly selecting another 100
newborn girls and getting a mean birth weight that is 2855 grams
or lower? Does it seem like a sample mean of 2855 grams is
unusual? The probability of getting a mean...

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:

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