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Why you need sampling distribution?

in order to calculate the mean of the sample's mean and also to calculate the standard deviation of the sample's


According to a study conducted in one city 36 of adults have credit card debts more than $2000. A simple random sample of n 200 adults is obtained from the city. Describe the sampling distribution?

The sampling distribution of the sample proportion of adults with credit card debts greater than $2000 can be described using the population proportion, which is 36% (or 0.36). For a simple random sample of 200 adults, the mean of the sampling distribution will be equal to the population proportion (0.36), and the standard error can be calculated using the formula ( \sqrt{\frac{p(1-p)}{n}} ), where ( p ) is the population proportion and ( n ) is the sample size. In this case, the standard error would be approximately ( \sqrt{\frac{0.36(0.64)}{200}} ), leading to a normal distribution centered at 0.36, assuming the sample size is sufficiently large.


Will the sampling distribution of x ̅ always be approximately normally distributed?

The sampling distribution of the sample mean (( \bar{x} )) will be approximately normally distributed if the sample size is sufficiently large, typically due to the Central Limit Theorem. This theorem states that regardless of the population's distribution, the sampling distribution of the sample mean will tend to be normal as the sample size increases, generally n ≥ 30 is considered adequate. However, if the population distribution is already normal, the sampling distribution of ( \bar{x} ) will be normally distributed for any sample size.


The distribution of sample means consists of?

A set of probabilities over the sampling distribution of the mean.


When the population standard deviation is not know the sampling distribution is a?

When the population standard deviation is not known, the sampling distribution of the sample mean is typically modeled using the t-distribution instead of the normal distribution. This is because the t-distribution accounts for the additional uncertainty introduced by estimating the population standard deviation from the sample. As the sample size increases, the t-distribution approaches the normal distribution, making it more appropriate for larger samples.

Related Questions

Why you need sampling distribution?

in order to calculate the mean of the sample's mean and also to calculate the standard deviation of the sample's


What is the purpose of the sample proportion?

The sampling proportion may be used to scale up the results from a sample to that of the population. It is also used for designing stratified sampling.


Describe the sampling distribution model for the sample proportion by naming the model and telling its mean and standard deviation?

it is the test one tail


In a large population 46 percent of the households own VCRs a simple random sample of 100 households is to be contacted and the sample proportion computed the mean of the sampling distribution of the?

i THINK IT IS .05


We have a population with mean of 100 and standard deviation of 28 take repeated samples of size 49 and calculate the mean of each sample to form a sampling distribution Is it a Normal Distribution?

a) T or F The sampling distribution will be normal. Explain your answer. b) Find the mean and standard deviation of the sampling distribution. c) We pick one of our samples from the sampling distribution what is the probability that this sample has a mean that is greater than 109 ? Is this a usual or unusual event? these are the rest of the question.


A sample of 24 observations is taken from a population that has 150 elements The sampling distribution of the mean is?

A sample of 24 observations is taken from a population that has 150 elements. The sampling distribution of is


Will the sampling distribution of x ̅ always be approximately normally distributed?

The sampling distribution of the sample mean (( \bar{x} )) will be approximately normally distributed if the sample size is sufficiently large, typically due to the Central Limit Theorem. This theorem states that regardless of the population's distribution, the sampling distribution of the sample mean will tend to be normal as the sample size increases, generally n ≥ 30 is considered adequate. However, if the population distribution is already normal, the sampling distribution of ( \bar{x} ) will be normally distributed for any sample size.


Is the standard deviation of the sampling distribution of the sample mean is o?

NO


What is the difference between stratified and random sampling?

In a stratified sample, the sampling proportion is the same for each stratum. In a random sample it should be but, due to randomness, need not be.


The distribution of sample means consists of?

A set of probabilities over the sampling distribution of the mean.


What proportion of sample proportions have a value greater than the population in any normal sample proportion distribution?

A half.


What is the difference between a population distribution and sampling distribution?

Population distribution refers to the patterns that a population creates as they spread within an area. A sampling distribution is a representative, random sample of that population.