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Thanks to the Central Limit Theorem, the sampling distribution of the mean is Gaussian (normal) whose mean is the population mean and whose standard deviation is the sample standard error.

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Q: What is sampling distribution of the mean?
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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.


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

NO


What will be the sampling distribution of the mean for a sample size of one?

It will be the same as the distribution of the random variable itself.


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

A sampling distribution function is a probability distribution function. Wikipedia gives this definition: In statistics, a sampling distribution is the probability distribution, under repeated sampling of the population, of a given statistic (a numerical quantity calculated from the data values in a sample). I would add that the sampling distribution is the theoretical pdf that would ultimately result under infinite repeated sampling. A sample is a limited set of values drawn from a population. Suppose I take 5 numbers from a population whose values are described by a pdf, and calculate their average (mean value). Now if I did this many times (let's say a million times, close enough to infinity) , I would have a relative frequency plot of the mean value which will be very close to the theoretical sampling pdf.


The standard error of the mean is the standard deviation of the sampling distribution of the sample mean?

a large number of samples of size 50 were selected at random from a normal population with mean and variance.The mean and standard error of the sampling distribution of the sample mean were obtain 2500 and 4 respectivly.Find the mean and varince of the population?

Related questions

What is the mean of the sampling distribution equal to?

The mean of the sampling distribution is the population mean.


What will the sampling distribution of the mean be if a population is normally distribution?

Also normally distributed.


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.


The distribution of sample means consists of?

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


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

NO


How do you calculate the mean of the sampling distribution of the sample proportion?

i dont no the answer


What will be the sampling distribution of the mean for a sample size of one?

It will be the same as the distribution of the random variable itself.


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


The mean of a sampling distribution is equal to the mean of the underlying population?

This is the Central Limit Theorem.


True or False A sampling distribution is a probability distribution for a statistic?

The statement is true that a sampling distribution is a probability distribution for a statistic.


What distribution is a sampling distribution referring to?

A sampling distribution refers to the distribution from which data relating to a population follows. Information about the sampling distribution plus other information about the population can be inferred by appropriate analysis of samples taken from a distribution.


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

A sampling distribution function is a probability distribution function. Wikipedia gives this definition: In statistics, a sampling distribution is the probability distribution, under repeated sampling of the population, of a given statistic (a numerical quantity calculated from the data values in a sample). I would add that the sampling distribution is the theoretical pdf that would ultimately result under infinite repeated sampling. A sample is a limited set of values drawn from a population. Suppose I take 5 numbers from a population whose values are described by a pdf, and calculate their average (mean value). Now if I did this many times (let's say a million times, close enough to infinity) , I would have a relative frequency plot of the mean value which will be very close to the theoretical sampling pdf.