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No, but the approximation is better for normally distributed variables.

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Q: Does a population have to be normally distributed in order to use the chi-square distribution?
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What will the sampling distribution of the mean be if a population is normally distribution?

Also normally distributed.


What does it mean for a population to be normally distributed?

A Gaussian distribution is the "official" term for the Normal distribution. This is a probability density function, of the exponential family, defined by the two parameters, its mean and variance. A population is said to be normally distributed if the values that a variable of interest can take have a normal or Gaussian distribution within that population.


Is a normally distributed variable needed to have a normally distributed sampling distribution.?

Yes, it is.


What are some examples of abnormal and normal distribution in statistics?

IQ is normally distributed in the general population. Age is not.


Why is the central limit theorem an important idea for dealing with a population not normally distributed?

According to the Central Limit Theorem, even if a variable has an underlying distribution which is not Normal, the means of random samples from the population will be normally distributed with the population mean as its mean.


Why do population follow normal distribution?

The form of this question incorportates a false premise. The premise is that the data are normally distributed. Actually, is the sample mean which, under certain circumstances, is normally distributed.


When doing a t-test what does normal distributed in population mean?

It means that the random variable of interest is Normally distributed and so the t-distribution is an appropriate distribution for the test rather than just an approximation.


If the mean of a normally distributed population is 132 what is the median?

132. You're the the one that stated "normal distribution", thus the same.


How would you characterize the distribution of scores in a normal distribution?

They are said to be Normally distributed.


Why does normal distribution occur when samples get larger?

That only happens when you sample a population that is normally distributed. In that case, the question and its answer are quite circular.


When you draw a sample from a normal distribution what can you conclude about the sample distribution?

The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.The answer depends on how the sample is selected. If it is a simple random sample, of size n, then it is distributed approximately normally with the same mean as the population mean.


How to present a variable that is not normally distributed?

There are many variables that are not normally distributed. You can describe them using a probability distribution function or its cumulative version; you can present them graphically.