Question

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 probability that a random sample size of 20 will have a mean gestation period less than 260 days?

d. What is the probability that a random sample size of 20 will have a mean gestation period within 20 days of the population mean?

Answer #1

The length of a human pregnancy is approximately normally
distributed with mean LaTeX: \muμ=266 days and standard deviation
LaTeX: \sigmaσ=16 days. Given the values of LaTeX: \muμx-bar and
LaTeX: \sigmaσx-bar found in the preceding questions, find the
probability that a random sample of 36 pregnancies has a mean
gestation period of 260 days or less. In other words, find P(x-bar
LaTeX: \le≤ 260). Choose the best answer. Group of answer choices
.0122 .0274 .3520 .0465

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...

1. Assume that the lengths of human pregnancies are normally
distributed with a mean of 266 days and a standard deviation of 16
days.
A. Determine the probability that a randomly selected pregnancy
lasts between 252 and 273 days.
B. If a random sample of 20 pregnancies is selected, determine
the probability that the sample mean will fall between 252 and 273
days.

The lengths of a particular animal's pregnancies are
approximately normally distributed, with mean μ=261 days and
standard deviation σ=20 days.
(a) What proportion of pregnancies lasts more than 296
days?
(b) What proportion of pregnancies lasts between 256 and 266
days?
(c) What is the probability that a randomly selected
pregnancy lasts no more than 251 days?
(d) A "very preterm" baby is one whose gestation period is
less than 231 days. Are very preterm babies unusual?

The lengths of a particular animal's pregnancies are
approximately normally distributed, with mean μ=262 days and
standard deviation σ=16 days.
(a) What proportion of pregnancies lasts more than 282
days?
(b) What proportion of pregnancies lasts between234 and 266
days?
(c) What is the probability that a randomly selected pregnancy
lasts no more than 246 days?
(d) A "very preterm" baby is one whose gestation period is
less than 238 days. Are very preterm babies unusual?

The lengths of a particular animal's pregnancies are
approximately normally distributed, with mean muequals264 days and
standard deviation sigmaequals8 days. (a) What (c) What is the
probability that a randomly selected pregnancy lasts no more than
260 days? (d) A "very preterm" baby is one whose gestation
period is less than 244 days. Are very preterm babies unusual?

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 309 days or longer. b. If the
length of pregnancy is in the lowest 4 %, then the baby is
premature. Find the length that separates premature babies from
those who are not premature.

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 44%, then the baby is
premature. Find the length that separates premature babies from
those who are not premature.

the lengths of pregnancies are normally distributed with a mean
of 266 days and a standard deviation of 15 days. if 36 women are
randomly selected, find the probability that they have a mean
pregnancy between 266 days and 268 days

Suppose the length of human pregnancies are normally distributed
with u = 266 days and standard deviation = 16 days. The area to the
right of x = 285 is 0.01175. Provide two interpretations for this
area.
A. The proportion of human pregnancies that last more than
.....days is .....
B. The proportion of human pregnancies that last less than
..... days is .....
Provide a semiconductor interpretation
A. The probability that a randomly selected human pregnancy
last more than...

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