Question
In: Statistics and Probability
1)What is a sampling distribution for the sample mean, x-bar? Explain. Is x-bar a random variable?...
1)What is a sampling distribution for the sample mean, x-bar? Explain. Is x-bar a random variable? Why do you think so?
2) We learned standard error of the mean ( read sigma xbar in denotation) or standard deviation of sample mean. When the size(n) of the sample collected from a infinite population is greater than 1, why is the standard error of the mean smaller than the standard deviation of X, population ? Explain conceptually or/and algebraically. Think of formula for Standard error of the mean (sigma xbar).
Solutions
orchestra answered 2 years agoRelated Solutions
,,1-The sampling distribution of the mean is...............? 2- The expected value of a random variable corresponds...
,,1-The sampling distribution of the mean is...............?
2- The expected value of a random variable corresponds to the
notion of the ________ of a sample.?
3- A negative correlation coefficient indicates a linear
relationship between variables where one variable increases as the
other increases. Is T or F?
4- If a variable is removed from the regression model when the
t-statistic is lesser than 1, ________.?
5- If we sample with replacement from a finite
population, the sampling distribution of the...
compute the sampling distribution for three tosses of an unfair coin. Assume the random variable x=1...
compute the sampling distribution for three tosses of an unfair
coin. Assume the random variable x=1 if the coin is tails and x=0
if it is head. The probability of coin is head facing upward is
0.47.
a) compute the mean and standard deviation of the
population.
b) what is the sampling distribution of the sample mean
c) compute the mean and standard deviation of the sampling
distribution
d) as n gets large does the distribution of sample mean approach...
compute the sampling distribution for three tosses of an unfair coin. Assume the random variable x=1...
compute the sampling distribution for three tosses of an unfair
coin. Assume the random variable x=1 if the coin is tails and x=0
if it is head. The probability of coin is head facing upward is
0.47.
a) compute the mean and standard deviation of the
population.
b) what is the sampling distribution of the sample mean
c) compute the mean and standard deviation of the sampling
distribution
d) as n gets large does the distribution of sample mean approach...
What is the sampling distribution of the sample mean? Provide examples.
What is the sampling distribution of the sample mean? Provide examples.
1) Let x be a continuous random variable that follows a normal distribution with a mean...
1) Let x be a continuous random variable that
follows a normal distribution with a mean of 321 and a standard
deviation of 41.
(a) Find the value of x > 321 so
that the area under the normal curve from 321 to x is 0.2224.
Round your answer to the nearest integer.
The value of x is_______
(b) Find the value of x so that the area under
the normal curve to the right of x is 0.3745.
Round...
Explain how a sampling distribution is created. What does the mean (center) of the sampling distribution...
Explain how a sampling distribution is created. What
does the mean (center) of the sampling distribution tell us? What
is the standard deviation of the sampling distribution called and
what does it tell us?
Explain the central limit theorem. Why is it important
for a sampling distribution of sample means and sample proportions
to be normal? What requirement ensures that a sampling distribution
for sample means is normal? What requirement ensures that a
sampling distribution for sample proportion is
normal?...
1. If the random variable x has a Poisson Distribution with mean μ = 53.4, find...
1. If the random variable x has a Poisson Distribution with mean
μ = 53.4, find the maximum usual value
for x.
Round your answer to two decimal places.
2.
In one town, the number of burglaries in a week has a Poisson
distribution with mean μ = 7.2. Let variable x denote the number of
burglaries in this town in a randomly selected
month. Find the smallest
usual value for x. Round your answer to three
decimal places.
(HINT:...
What is the sampling distribution of the sample mean? What is the central limit theorem?
Question 4
What is the sampling distribution of the sample mean? Provide examples.
Question 5
What is the central limit theorem? Provide examples.
Question 6
What is the standard error of the mean? Provide examples.
1. The sampling distribution of the sample mean is approximately normal for all sample sizes. a....
1. The sampling distribution of the sample mean is approximately
normal for all sample sizes.
a. true
b. false
2. If all possible samples of the same size have the same chance
of being selected, these samples are said to be random samples.
a. true
b. false
3. The population of sample means of every possible sample size
(n) is known as the ______ distribution of the mean.
4. A sample size of 49 drawn from a population with a...
The random variable X follows a normal distribution with a mean of 10 and a standard...
The random variable X follows a normal distribution with a mean
of 10 and a standard deviation of 3.
1.
What is P(7≤X≤13)? Include 4 decimal places in your answer.
2.
What is the value of k such that P(X>k)=0.43? Include 2
decimal places in your answer.
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