Question
In: Statistics and Probability
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) What is the probability that a random sample of 40 pregnancies has a mean gestation period of 262 days or less?
(e) What might you conclude if a random sample of 40 pregnancies resulted in a mean gestation period of 262 days or less?
(d) What is the probability that a random sample of 50 pregnancies has a mean gestation period of 260 days or less? What might you conclude if a random sample of 50 pregnancies resulted in a mean gestation period of 260 days or less?
Solutions
orchestra answered 2 years agoRelated Solutions
The length of human pregnancies is approximately normal distributed with mean =266 days and Standard Deviation...
The length of human pregnancies is approximately normal
distributed with mean =266 days and Standard Deviation = 16 days (
20 points ) . Exercise 8.1 What is the probability a randomly
selected pregnancy lasts less than 260 days? Suppose a random
sample of 20 pregnancies is obtained. Describe the sample
distribution the sampling distribution of sample mean of human
pregnancies. What is the probability that a random sample of 20
pregnancies has a mean gestation period of 260 days...
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...
1.) the length of human pregnancies has a mean of 266 days and a standard deviation...
1.) the length of human pregnancies has a mean of 266 days and a
standard deviation of 16 days. find the probability that a randomly
chosen pregnancy lasts between 260 and 270 days. 2.) find the 45th
percentile of days for a human pregnancy. 3.) the number of
chocolate chips in a bag of chips ahoy cookies has a mean of 1262
with a standard deviation of 118 chips. find the probability a
random bag has over 1100 chocolate chips....
Length (in days) of human pregnancies is a normal random variable (X) with mean 266, standard...
Length (in days) of
human pregnancies is a normal random variable (X) with mean 266,
standard deviation 16.
(It would be useful to
sketch this normal distribution yourself, marking its mean and the
values that are 1, 2, and 3 standard deviations below and above the
mean. Click to compare your figure to ours)
The probability is
0.95 that a pregnancy will last between ?218234250266282298 and
?218234250266282298 days.
The shortest 16% of
pregnancies last less than ?218,234,250,266,282,298 days.
The probability...
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ=267 days and...
The lengths of a particular animal's pregnancies are
approximately normally distributed, with mean μ=267 days and
standard deviation σ=16 days.
(a) What proportion of pregnancies lasts more
than 275 days?
(b) What proportion of pregnancies lasts
between 263 and 271 days?
(c) What is the probability that a randomly
selected pregnancy lasts no more than 247 days?
(d) A "very preterm" baby is one whose
gestation period is less than 243 days. Are very preterm babies
unusual?
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ=252 days and...
The lengths of a particular animal's pregnancies are
approximately normally distributed, with mean μ=252 days and
standard deviation σ=20 days.
(a) What proportion of pregnancies lasts more than 267
days?
(b) What proportion of pregnancies lasts between 227 and 257
days?
(c) What is the probability that a randomly selected pregnancy
lasts no more than 237 days?
(d) A "very preterm" baby is one whose gestation period is
less than 202 days. Are very preterm babies unusual?
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ= 272 days...
The lengths of a particular animal's pregnancies are
approximately normally distributed, with mean μ= 272
days and standard deviation σ= 88 days.
(a) What proportion of pregnancies lasts more than 286
days?
(b) What proportion of pregnancies lasts between 262 and 274
days?
(c) What is the probability that a randomly selected pregnancy
lasts no more than 264days?
(d) A "very preterm" baby is one whose gestation period is
less than 260 days. Are very preterm babies unusual?
The lengths of a particular animal's pregnancies are approximately normally distributed, with mean μ=252 days and...
The lengths of a particular animal's pregnancies are
approximately normally distributed, with mean μ=252 days and
standard deviation σ=16 days.
(a) What proportion of pregnancies lasts more than 272
days?
(b) What proportion of pregnancies lasts between 248 and 260
days?
(c) What is the probability that a randomly selected pregnancy
lasts no more than 224 days?
(d) A "very preterm" baby is one whose gestation period is
less than 216 days. Are very preterm babies unusual?
The length of zebra pregnancies is normally distributed, with mean μ = 380 and standard deviation...
The length of zebra pregnancies is normally distributed, with
mean μ = 380 and standard deviation σ = 10. A random sample of 11
random pregnant zebras is chosen. Find P(x⎯⎯⎯x¯ < 375) for n =
11.
Enter your answer as an area under the curve with 4 decimal
places.
Length of human pregnancies follows a normal distribution with a population mean of 266 days and...
Length of human pregnancies follows a normal distribution with a
population mean of 266 days and a standard deviation of 16
days.
A) 90% of pregnancies last between how many days?
B) 60% of pregnancies last between how many days?
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