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Frequently it's impossible or impractical to test the entire universe of data to determine probabilities. So we test a small sub-set of the universal database and we call that the sample.
Then using that sub-set of data we calculate its distribution, which is called the sample distribution. Normally we find the sample distribution has a bell shape, which we actually call the "normal distribution."
When the data reflect the normal distribution of a sample, we call it the Student's t distribution to distinguish it from the normal distribution of a universe of data. The Student's t distribution is useful because with it and the small number of data we test, we can infer the probability distribution of the entire universal data set with some degree of confidence.
What else can I help you with?
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 known the sampling distribution is a?
If the samples are drawn frm a normal population, when the population standard deviation is unknown and estimated by the sample standard deviation, the sampling distribution of the sample means follow a t-distribution.
What name do you give to the standard deviation of the sampling distribution of sample means?
the central limit theorem
What is the distribution of sample means constructed by sampling 5 items from a population of 15?
the standard error will be 1
What is the number of samples for a distribution of sample means constructed by sampling 5 items from a population of 15?
the sampe mean cannot be comoputed
What does the Central Limit Theorem say about the traditional sample size that separates a large sample size from a small sample size?
The Central Limit Theorem states that the sampling distribution of the sample means approaches a normal distribution as the sample size gets larger — no matter what the shape of the population distribution. This fact holds especially true for sample sizes over 30.
The distribution of sample means is not always a normal distribution Under what circumstances will the distribution of sample means not be normal?
The distribution of sample means will not be normal if the number of samples does not reach 30.
If repeating an experiment many times with different samples what values for the sample means would be possible?
The answer depends on the population and is described by the sampling distribution of the mean.
What is the difference between sample and sampling?
sample is a noun. sampling is a verb. Statistically speaking, a sample is where we gather and examine part of a population. A sampling is where we take the means of samples in order to gather info about the whole...
Suppose that a population that a population has mean equals 64 and standard deviation equals 18. A sample of size 36 is selected. What is the mean of the sampling distribution of means?
64.
What is the usual sampling distribution of the differences between means is a?
acrobat
The Central Limit Theorem is important in statistics because?
According to the central limit theorem, as the sample size gets larger, the sampling distribution becomes closer to the Gaussian (Normal) regardless of the distribution of the original population. Equivalently, the sampling distribution of the means of a number of samples also becomes closer to the Gaussian distribution. This is the justification for using the Gaussian distribution for statistical procedures such as estimation and hypothesis testing.
