Question
In: Statistics and Probability
The gestation time for humans has a mean of 266 days and a standard deviation of...
The gestation time for humans has a mean of 266 days and a standard deviation of 20 days. If 100 women are randomly selected, find the probability that they have a mean pregnancy between 266 days and 268 days.
Solutions
Expert Solution
Solution :
Given that,
mean = 
= 266
standard deviation = 
=20
n = 100
= 266
=
/ 
P (266 <
< 268)
P ( 266 - 266 / 2) < (
-
/
) < ( 268 - 266 / 2)
P ( 0 / 27 < z < 2 / 2)
P ( 0 < z < 1 )
P ( z < 1 ) - P ( z < 0 )
Using z table
- 0.8413 - 0.5000
= 0.3413
Probability = 0.3413
orchestra answered 1 year agoRelated Solutions
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....
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...
Humans are known to have a mean gestation period of 280 days (from last menstruation) with...
Humans are known to have a mean gestation period of 280 days
(from last menstruation) with a standard deviation of about 9 days.
A hospital wondered whether there was any evidence that their
patients were at risk for giving birth prematurely. In a random
sample of 70 women, the average gestation time was 277.7 days. Is
the alternative hypothesis one-sided or two-sided? (type your
choice as either one-sided or two-sided) What is the value of the
test statistic? (round to...
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)...
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...
Daily commute time is normally distributed with mean=40 minutes and standard deviation=8 minutes. For 16 days...
Daily commute time is normally distributed with mean=40 minutes
and standard deviation=8 minutes. For 16 days of travel, what is
the probability of an average commute time greater than 35? B. A
cup holds 18 ozs. The beer vending machine has an adjustable mean
and a standard deviation equal to .2 oz. What should the mean be
set to so that the cup overflows only 2.5% of the time? C. The
probability that Rutgers soccer team wins a game is...
2. The IQ of humans is approximately normally distributed with a mean 100 and standard deviation...
2. The IQ of humans is approximately normally distributed with a
mean 100 and standard deviation of 15. A. What is the probablitlty
that a randomly selected person has an IQ greater than 105? B. What
is the probablitlty that a SPS of 60 randomly selected people will
have a mean IQ greater than 105?
3. A 95% confidence interval for a population mean is (57,65).
Can you reject the null hypothesis the mean= 68 at the 5%
significance level...
2. The IQ of humans is approximately normally distributed with a mean 100 and standard deviation...
2. The IQ of humans is
approximately normally distributed with a mean 100 and standard
deviation of 15. A. What is the probablitlty that a randomly
selected person has an IQ greater than 105? B. What is the
probablitlty that a SPS of 60 randomly selected people will have a
mean IQ greater than 105?
3. A 95% confidence
interval for a population mean is (57,65). Can you reject the null
hypothesis the mean= 68 at the 5% significance level...
Suppose babies born in a large hospital have a mean weight of 4022 grams, and a standard deviation of 266 grams.
Suppose babies born in a large hospital have a mean weight of 4022 grams, and a standard deviation of 266 grams. If 53 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would differ from the population mean by more than 45 grams? Round your answer to four decimal places.
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- UNIX ONLY -- DIFFICULT LAB ASSIGNMENT This is an extremely difficult subject for me. Could you...
- Do you know why your credit card can be refused even though you are profitable?
- The Following Java expression: S/10 * 10 + 10 – S = C Show that this...
- Year Cash Flow 0 −$9,700 1 5,800 2 2,500 3 3,400 &nb
- In a two – story building, an exterior column is to be designed for a service...
- Explain the use of neural networking modeling in predictive analytics. Discuss a real-life example of where...
- Boarder line and antisocial disorder are perhaps the most research personality disorder.What are the most common...
ADVERTISEMENT