Sampling Distribution Sample Means

Front

What is a sampling distribution of sample means?

Back

A sampling distribution of sample means is the probability distribution of all possible sample means from a population. It shows how the means of different samples vary.

Front

What is the Central Limit Theorem?

Back

The Central Limit Theorem states that the distribution of sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.

Front

What is the mean of the sampling distribution of sample means?

Back

The mean of the sampling distribution of sample means is equal to the mean of the population from which the samples are drawn.

Front

What is the standard deviation of the sampling distribution of sample means?

Back

Front

If the population mean is 4000 gallons and the population standard deviation is 125 gallons, what is the mean of the sampling distribution for samples of size 81?

Back

The mean of the sampling distribution is 4000 gallons.

Front

If the population standard deviation is 125 gallons, what is the standard deviation of the sampling distribution for samples of size 81?

Back

Front

What happens to the shape of the sampling distribution as the sample size increases?

Back

As the sample size increases, the shape of the sampling distribution becomes narrower and more normal.

Front

What is the shape of the sampling distribution of sample means if the population distribution is normal?

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If the population distribution is normal, the sampling distribution of sample means will also be normal, regardless of the sample size.

Front

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

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The population distribution describes the entire population, while the sampling distribution describes the distribution of sample means from that population.

Front

What does it mean if a sampling distribution is approximately normal?

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It means that the distribution of sample means is close to a normal distribution, which allows for the application of normal probability methods.