Question

Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed with mean mu equals 263 days and standard deviation sigma equals 15 days. Complete parts (a) through (f) below. (a) What is the probability that a randomly selected pregnancy lasts less than 257 days? The probability that a randomly selected pregnancy lasts less than 257 days is approximately nothing. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) A. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last less than 257 days. B. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last more than 257 days. C. If 100 pregnant individuals were selected independently from this population, we would expect nothing pregnancies to last exactly 257 days. (b) Suppose a random sample of 17 pregnancies is obtained. Describe the sampling distribution of the sample mean length of pregnancies. The sampling distribution of x overbar is ▼ normal skewed left skewed right with mu Subscript x overbarequals nothing and sigma Subscript x overbarequals nothing. (Round to four decimal places as needed.) (c) What is the probability that a random sample of 17 pregnancies has a mean gestation period of 257 days or less? The probability that the mean of a random sample of 17 pregnancies is less than 257 days is approximately nothing. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) A. If 100 independent random samples of size nequals17 pregnancies were obtained from this population, we would expect nothing sample(s) to have a sample mean of exactly 257 days. B. If 100 independent random samples of size nequals17 pregnancies were obtained from this population, we would expect nothing sample(s) to have a sample mean of 257 days or less. C. If 100 independent random samples of size nequals17 pregnancies were obtained from this population, we would expect nothing sample(s) to have a sample mean of 257 days or more. (d) What is the probability that a random sample of 37 pregnancies has a mean gestation period of 257 days or less? The probability that the mean of a random sample of 37 pregnancies is less than 257 days is approximately nothing. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box within your choice. (Round to the nearest integer as needed.) A. If 100 independent random samples of size nequals37 pregnancies were obtained from this population, we would expect nothing sample(s) to have a sample mean of 257 days or less. B. If 100 independent random samples of size nequals37 pregnancies were obtained from this population, we would expect nothing sample(s) to have a sample mean of 257 days or more. C. If 100 independent random samples of size nequals37 pregnancies were obtained from this population, we would expect nothing sample(s) to have a sample mean of exactly 257 days. (e) What might you conclude if a random sample of 37 pregnancies resulted in a mean gestation period of 257 days or less? This result would be ▼ expected, unusual, so the sample likely came from a population whose mean gestation period is ▼ greater than less than equal to 263 days. (f) What is the probability a random sample of size 15 will have a mean gestation period within 11 days of the mean? The probability that a random sample of size 15 will have a mean gestation period within 11 days of the mean is nothing. (Round to four decimal places as needed.)

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Answer #1

Suppose the lengths of the pregnancies of a certain animal are
approximately normally distributed with a mean
μ=192 days and a standard deviation of σ=19 days. Complete parts
(a) through (f) below.
(a) What is the probability that a randomly selected pregnancy
lasts less than 185 days?
The probability that a randomly selected pregnancy lasts less
than 185 days is approximately nothing. (Round to four decimal
places as needed.)
Interpret this probability. Select the correct choice below and
fill in...

Suppose the lengths of the pregnancies of a certain animal are
approximately normally distributed with mean
mu equals 273 daysμ=273 days
and standard deviation
sigma equals 17 daysσ=17 days.
Complete parts (a) through (f) below.
(a) What is the probability that a randomly selected pregnancy
lasts less than
267267
days?The probability that a randomly selected pregnancy lasts
less than
267267
days is approximately
. 3632.3632.
(Round to four decimal places as needed.)
Interpret this probability. Select the correct choice below...

Suppose the lengths of the pregnancies of a certain animal are
approximately normally distributed with mean mu equals 190 days and
standard deviation sigma equals 14 days
Complete parts (a) through (f) below.
(a) What is the probability that a randomly selected pregnancy
lasts less than 185 days?
(b) Suppose a random sample of 20 pregnancies is obtained.
Describe the sampling distribution of the sample mean length of
pregnancies.
c) What is the probability that a random sample of 20...

Suppose the lengths of the pregnancies of a certain animal are
approximately normally distributed with mean μ=162 days and
standard deviation σ=10 days.
Complete parts (a) through (f) below.
(a) What is the probability that a randomly selected pregnancy
lasts less than
159 days?The probability that a randomly selected pregnancy
lasts less than 159 days is approximately .3821
(Round to the nearest integer as needed.)
A.If 100 pregnant individuals were selected independently from
this population, we would expect ___pregnancies to...

7. Suppose the lengths of pregnancies of a certain animal are
approximately normally distributed with mean 108 days and standard
deviation 9 days. a. What is the probability that a random sample
of size 4 will have a mean length of pregnancies of more than 112
days? b. What is the probability that a random sample of size 10
will have a mean length of pregnancies of more than 112 days? c. If
the length of pregnancies from part a...

Suppose the lengths of pregnancies of a certain animal
are approximately normally distributed with mean ? = 240 days and ?
= 18 days.
a. What is the probability that a randomly selected pregnancy
lasts less than 233 days?
b. Suppose a random sample of 17 pregnancies is obtained.
Describe the mean and standard deviation of the distribution of the
sample mean length of pregnancies.
c. What is the probability that a random sample of 17
pregnancies has a mean...

The length of a women's pregnancies are normally distributed
with a population mean of 266 days and a population standard
deviation of 16 days.
a. What is the probability of a randomly selected pregnancy
lasts less than 260 days?
b. A random sample of 20 pregnancies were obtained. Describe the
sampling distribution of the sample mean length of pregnancies (eg.
Is it approximately normally distributed? Why or why not? What are
the mean and standard deviation?
c. What is the...

The lengths of a particular animal's pregnancies are
approximately normally distributed, with mean muequals276 days and
standard deviation sigmaequals16 days. (a) What proportion of
pregnancies lasts more than 300 days? (b) What proportion of
pregnancies lasts between 268 and 288 days? (c) What is the
probability that a randomly selected pregnancy lasts no more than
248 days? (d) A "very preterm" baby is one whose gestation
period is less than 240 days. Are very preterm babies unusual?
The proportion of...

The lengths of a particular animal's pregnancies are
approximately normally distributed, with mean
muμequals=265265
days and standard deviation
sigmaσequals=1616
days.(a) What proportion of pregnancies lasts more than
285285
days?(b) What proportion of pregnancies lasts between
253253
and
273273
days?(c) What is the probability that a randomly selected
pregnancy lasts no more than
237237
days?(d) A "very preterm" baby is one whose gestation period
is less than
229229
days. Are very preterm babies unusual?
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The lengths of pregnancies in a small rural village are normally
distributed with a mean of 269 days and a standard deviation of 14
days. In what range would you expect to find the middle 68% of most
pregnancies?
Between _and _
If you were to draw samples of size 35 from this population, in
what range would you expect to find the middle 68% of most averages
for the lengths of pregnancies in the sample?
Between _and _

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