Question
In: Statistics and Probability
The length of maternity stay in U.S. hospitals is normally distributed, with mean of 3.5 days...
The length of maternity stay in U.S. hospitals is normally
distributed, with mean of 3.5 days and a
standard deviation of 1.2 days. We randomly
survey 91 women who recently bore children
in U.S. hospitals.
Let X= maternity stay in U.S. hospital, and
X¯= average maternity stay for a sample of
size 91 .
X∼ (pick one) BPEN ( , ) .
X¯∼ (pick one) EPNB ( , ) .
What is the probability that the average stay is more
than 3 days?
P(X¯>3)=
Which of the following is more likely?
an individual stays more than 5 days the average stay of 91 women was more than 5 days
Solutions
Expert Solution
1.
2.
ans-> an individual stays more than 5 days > the average stay of 91 women was more than 5 days
orchestra answered 3 years agoRelated Solutions
The average length of stay in U.S. hospitals 4.5 days. The length of stay in days...
The average length of stay in U.S. hospitals 4.5 days. The
length of stay in days of a random sample of patients at a local
hospital was recorded.
a. Use this data to construct a 99% confidence
interval. What are the upper and lower bounds?
b. Based on your confidence interval, is the length
of stay at this local hospital significantly different from the
national average at the 1% significance level?
Length of Stay (days)
3
6
3...
The average length of stay in U.S. hospitals 4.5 days. The length of stay in days...
The average length of stay in U.S. hospitals 4.5 days. The
length of stay in days of a random sample of patients at a local
hospital was recorded.
3,6,3,7,8,9,4,6,5,5,7,3,3,5,8,5
A). Use this data to construct a 99% confidence interval. What
are the upper and lower bounds?
B). Based on your confidence interval, is the length of stay at
this local hospital significantly different from the national
average at the 1% significance level?
The average length of a maternity stay in a U.S. hospital is 2.2 days with a...
The average length of a maternity stay in a U.S. hospital is 2.2
days with a standard deviation of 0.6 days. A sample of 25 women
who recently gave birth is taken. Find the probability that the
sample mean is greater than 2.4 days. Round your answer to the
nearest hundredth.
The average length of a maternity stay in a U.S. hospital is said to be 2.2...
The average length of a maternity stay in a U.S. hospital is
said to be 2.2 days with a standard deviation of 0.9 days. We
randomly survey 80 women who recently bore children in a U.S.
hospital.
B)Give the distribution of
X.
(Round your standard deviation to two decimal places.)
C)Give the distribution of ΣX. (Round your standard
deviation to two decimal places.)
The length of human pregnancies is approximately normally distributed with mean μ= 266 days and standard...
The length of human pregnancies is approximately normally
distributed with mean μ= 266 days and standard deviation σ = 15
days.
(a) What is the probability a randomly selected pregnancy lasts
less than 262 days?
(b) Suppose a random sample of 20 pregnancies is obtained.
Describe the sampling distribution of the sample mean length of
human pregnancies.
(c) What is the probability that a random sample of 20
pregnancies has a mean gestation period of 262 days or less?
(d)...
the length of a particular animals pregnancies are approximately normally distributed with a mean u=252 days...
the length of a particular animals pregnancies are
approximately normally distributed with a mean u=252 days and
standard deviation o=12 days
a. what proportion of pregnacies last more than 267
days?
b. what proportion of pregnancies lasts between 234 and 255
days?
c. what is the probabilty that a randomly selected pregancy
lasts no more than 237 days?
d. a "very preterm" baby is one whose gestation period is less
than 222 days. Are very preterm babies unusual?
Length of metal strips produced by a machine process are normally distributed with a mean length...
Length of metal strips produced by a machine process are
normally distributed with a mean length of 50mm and a standard
deviation of 5mm.
Giving your answer as a decimal to 4 decimal places, find the
probability that the length of a randomly selected strip is
a)
Shorter than 47mm
b)
Longer than 58mm
c)
Between 48mm48mm and 56mm
The lengths of pregnancies are normally distributed with a mean of 266 days and a standard...
The lengths of pregnancies are normally distributed with a mean
of
266 days and a standard deviation of 15 days. a. Find the
probability of a pregnancy lasting 307 days or longer. b. If the
length of pregnancy is in the lowest 3%, then the baby is
premature. Find the length that separates premature babies from
those who are not premature.Click to view page 1 of the table.
LOADING...
Click to view page 2 of the table.
LOADING...
a. The...
The lengths of pregnancies are normally distributed with a mean of 267 days and a standard...
The lengths of pregnancies are normally distributed with a mean
of 267 days and a standard deviation of 15 days. a. Find the
probability of a pregnancy lasting 308 days or longer. b. If the
length of pregnancy is in the lowest 2%, then the baby is
premature. Find the length that separates premature babies from
those who are not premature. Click to view page 1 of the
table.LOADING... Click to view page 2 of the table.LOADING... a.
The probability...
6. The lengths of pregnancies are normally distributed with a mean of 268 days and a...
6.
The lengths of pregnancies are normally distributed with a mean
of 268 days and a standard deviation of 15 days. Use this
information to compute the answers for the following questions:
a.Find the probability that a randomly selected pregnancy is
less than250 days.Round to 3 decimals.
b.Find the probability that a randomly selected pregnancy is
between250 and 280days.Round to 3 decimals.
c.Find the pregnancy duration(in days) that separates the bottom
90% of pregnancies fromthe top 10%.Roundto the nearestwholeday.
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