What is a sampling distribution? If we are considering the sample mean, how do we calculate...

What is a sampling distribution?

If we are considering the sample mean, how do we calculate the standard error of the sample mean?

If we are considering the sample proportion, how do we calculate the standard error of the sample proportion?

Expert Solution

The sampling distribution is nothing but the probability distribution of the sample. It is not possible in any research to take data from every individual in the world. So a finite group of investigation samples is taken and research is carried out on them.

For example- In the estimation of population mean, we say that sample mean is normally distributed, here we say sample mean and not population mean. It means that the sampling distribution of the mean is normal.

Now for the next two parts:

The standard error is just the standard deviation of data.

For sample mean, the standard deviation is calculated by the formula

For sample proportion, let p be sample proportion, the standard deviation is calculated by

Again these are just standard deviations of samples, which on working out in proof according to known statistic comes out to be these.

orchestra answered 2 years ago

How do you calculate the mean and standard deviation of the sampling distribution for sample means?...

How do you calculate the mean and standard deviation of the sampling distribution for sample means? [2 sentences] What is the effect of increasing sample size on the sampling distribution and what does this mean in terms of the central limit theorem? [2 sentences] Why is the standard deviation of the sampling distribution smaller than the standard deviation of the population from which it came? [3 sentences]

discuss what the mean of a sampling distribution is and describe how to calculate it using...

discuss what the mean of a sampling distribution is and describe how to calculate it using a specific example. Describe a scenario and explain finding the mean of a sampling distribution.

What is the sampling distribution of the sample mean? Provide examples.

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?...

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.

The purpose of this is to demonstrate the sampling distribution of the sample mean when the...

The purpose of this is to demonstrate the sampling distribution of the sample mean when the data is generated from an exponential distribution (at rate 2.0) as sample size increases. Describe and compare the sampling distributions of the sample mean for sample sizes n=5, n=20, n=40. Do this by simulating samples at least 5000 times. R-code for generating a sample of size n=10 from exponential distribution at rate 2.0 is >rexp(n=10, rate=2.0)

What do we mean when we say we have a “distribution of mean differences”? Theoretically, how...

What do we mean when we say we have a “distribution of mean differences”? Theoretically, how would you construct a “distribution of mean differences”?

How are the population mean and the mean of the sampling distribution of the mean related?...

How are the population mean and the mean of the sampling distribution of the mean related? -What is the standard error of the mean? What does it measure? -What effect does increasing sample size have on the size of the standard error? -What does the central limit theorem state? -What are the units of a z-score? -How are z-scores related to standard deviation and the mean?How are they interpreted? -Is the α always a certain value, or is it up...

In finance, what do we mean by the time value of money? How do we calculate it?

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...

Question