Question
In: Statistics and Probability
Assume that the duration of human pregnancies can be described by a normal model with mean...
Assume that the duration of human pregnancies can be described by a normal model with mean 266 days and standard deviation 12 days. Complete parts
a) What percentage of pregnancies should last between 275 and 280 days? _________%
(Round to one decimal place as needed.)
b) At least how many days should the longest 30% of all pregnancies last?
P(X greater than or equals≥________)=0.30
(Round to one decimal place as needed.)
c) Suppose a certain obstetrician is currently providing prenatal care to 90 pregnant women. Let y represent the mean length of their pregnancies. According to the central limit theorem, what is the mean and standard deviation SD(y overbary) of the normal model of the distribution of the sample mean, y overbary?
The mean is _________.
SD(y overbary)equals=__________
(Round to two decimal places as needed.)
d) What is the probability that the mean duration of these patients' pregnancies will be less than 265 days?
P(y overbaryless than<265)equals=________
(Round to three decimal places as needed.)
(Round to three decimal places as needed.)
Solutions
orchestra answered 1 year agoRelated Solutions
Assume that the duration of human pregnancies can be described by a Normal model with mean...
Assume that the duration of human pregnancies can be described
by a Normal model with mean 267 days and standard deviation 14
days.
a) What percentage of pregnancies should last between 272 and
284 days?
b) At least how many days should the longest 20%of all
pregnancies last?
c) Suppose a certain obstetrician is currently providing
prenatal care to 60 pregnant women. Let y
represent the mean length of their pregnancies. According to the
Central Limit Theorem, what's the distribution...
Assume that the duration of human pregnancies can be described by a normal model with mean...
Assume that the duration of human pregnancies can be described
by a normal model with mean 266 days and standard deviation 15
days. Complete parts a) through d) below.
a) What percentage of pregnancies should last between 265 and
270 days? % (Round to one decimal place as needed.)
b) At least how many days should the longest 30% of all
pregnancies last? P(X greater than or equals nothing)=0.30
(Round to one decimal place as needed.)
c) Suppose...
Assume that the duration of human pregnancies can be described by a Normal model with mean...
Assume that the duration of human pregnancies can be described
by a Normal model with mean 266266 days and standard deviation 1818
days. a) What percentage of pregnancies should last between 268268
and 276276 days? b) At least how many days should the longest
3030% of all pregnancies last? c) Suppose a certain obstetrician
is currently providing prenatal care to 6868 pregnant women. Let y
overbary represent the mean length of their pregnancies. According
to the Central Limit Theorem, what's...
Assume that the duration of human pregnancies can be described by a Normal model with mean...
Assume that the duration of human pregnancies can be described
by a Normal model with mean 268 days and standard deviation 16
days. a) What percentage of pregnancies should last between 274
and 285 days? b) At least how many days should the longest 15%
of all pregnancies last? c) Suppose a certain obstetrician is
currently providing prenatal care to 51 pregnant women. Let y
overbar represent the mean length of their pregnancies. According
to the Central Limit Theorem, what's...
Assume that the duration of human pregnancies can be described by a Normal model with mean...
Assume that the duration of human pregnancies can be described
by a Normal model with mean 268 days and standard deviation 14
days.
a) What percentage of pregnancies should last between 274 and
281 days? (Round to two decimal places as needed.)
b) At least how many days should the longest 25% of all
pregnancies last? (Round to one decimal place as needed.)
c) Suppose a certain obstetrician is currently providing
prenatal care to 58 pregnant women. Let y overbar...
Assume the duration of human pregnancies can be described by a Normal model with mean 266...
Assume the duration of human pregnancies can be described by a
Normal model with mean 266 days and standard deviation 16 days. 1.
What percentage of pregnancies should last between 270 and 280
days? 2. At least how many days should be the longest 25% of all
pregnancies last? 3. Suppose a certain obstetrician is providing
prenatal care to 60 pregnant women. According to the Central Limit
Theorem, if we calculated sample means, what is the mean and
standard deviation...
Using the program R, Assume that the distribution of the duration of human pregnancies can be...
Using the program R, Assume that the distribution of the
duration of human pregnancies can be approximated with a normal
distribution with a mean of 266 days and a standard deviation of 16
days.
(a) What percentage of pregnancies should last between 260 and
280 days?
(b) Find a value x such that 10% of the pregnancies of a
duration that is longer than x days.
(c) We select 500 pregnant women at random. Let N be the number
of...
The cholesterol levels of an adult can be described by a normal model with a mean...
The cholesterol levels of an adult can be described by a normal
model with a mean of 187 mg/dL and a standard deviation of 28
What percent of adults do you expect to have cholesterol levels
over 210 mg/dL? (round two decimal places)
c) What percent of adults do you expect to have cholesterol
levels between 150 and 160 mg/dL?(round two decimal places)
d) Estimate the interquartile range of cholesterol levels.
IQR= ____ (round to nearest integer)
e)Above what value...
The prices of pizzas can be described by a normal model with a mean of $12...
The prices of pizzas can be described by a normal model with a
mean of $12 and
a standard deviation of $3.
12. Draw the model showing the 68-95-99.7 Rule
13. Use the 68-95-99.7 Rule to estimate the proportion of
pizzas with prices
between $12 and $18
14. Use the 68-95-99.7 Rule to estimate the proportion of
pizzas with prices less
than $9
15. Use the 68-95-99.7 Rule to estimate the proportion of
pizzas with prices more than $21
The cholesterol levels of an adult can be described by a normal model with a mean...
The cholesterol levels of an adult can be described by a normal
model with a mean of 188 mg/dL and a standard deviation of 26
b) What percent of adults do you expect to have cholesterol
levels over
190mg/dL?
(Round to two decimal places as needed.)
c) What percent of adults do you expect to have cholesterol
levels between
160 and 170 mg/dL?
(Round to two decimal places as needed.)
d) Estimate the interquartile range of cholesterol levels.
IQRequals=
(Round...
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