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You use the z-transformation.

For any variable X, with mean m and standard error s,

Z = (X - m)/s is distributed as N(0, 1).

You use the z-transformation.

For any variable X, with mean m and standard error s,

Z = (X - m)/s is distributed as N(0, 1).

You use the z-transformation.

For any variable X, with mean m and standard error s,

Z = (X - m)/s is distributed as N(0, 1).

You use the z-transformation.

For any variable X, with mean m and standard error s,

Z = (X - m)/s is distributed as N(0, 1).

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Related Questions

Can the standard normal variate in normal distributions be negative?

About half the time.


What is standard normal variate?

It's the same as a z-Transformation. for all xi: (xi-mean(x)) / std(x)


Why is a chi-squared test for qualitative data always right-tailed?

A chi square is square of standard normal variate, so all values are positive


What are the advantages of using the standard normal distribution over the normal distribution?

There is no simple formula to calculate probabilities for the normal distribution. Those for the standard normal have been calculated by numerical methods and then tabulated. As a result, probabilities for the standard normal can be looked up easily.


What is F variate?

The F-variate, named after the statistician Ronald Fisher, crops up in statistics in the analysis of variance (amongst other things). Suppose you have a bivariate normal distribution. You calculate the sums of squares of the dependent variable that can be explained by regression and a residual sum of squares. Under the null hypothesis that there is no linear regression between the two variables (of the bivariate distribution), the ratio of the regression sum of squares divided by the residual sum of squares is distributed as an F-variate. There is a lot more to it, but not something that is easy to explain in this manner - particularly when I do not know your knowledge level.


What information do you need to calculate a probability with a normal distribution?

Only the mean, because a normal distribution has a standard deviation equal to the square root of the mean.


How do you calculate standard deviation without a normal distribution?

You calculate standard deviation the same way as always. You find the mean, and then you sum the squares of the deviations of the samples from the means, divide by N-1, and then take the square root. This has nothing to do with whether you have a normal distribution or not. This is how you calculate sample standard deviation, where the mean is determined along with the standard deviation, and the N-1 factor represents the loss of a degree of freedom in doing so. If you knew the mean a priori, you could calculate standard deviation of the sample, and only use N, instead of N-1.


What is the standard deviation of a standard normal distribution?

The standard deviation in a standard normal distribution is 1.


In the standard normal distribution the standard deviation is always what?

The standard deviation in a standard normal distribution is 1.


Which normal distribution is also the standard normal curve?

The normal distribution would be a standard normal distribution if it had a mean of 0 and standard deviation of 1.


How does standard normal distribution differ from normal distribution?

The standard normal distribution has a mean of 0 and a standard deviation of 1.


How do you calculate plus or minus one standard deviation?

To calculate plus or minus one standard deviation from a mean, first determine the mean (average) of your data set. Then calculate the standard deviation, which measures the dispersion of the data points around the mean. Once you have both values, you can find the range by adding and subtracting the standard deviation from the mean: the lower limit is the mean minus one standard deviation, and the upper limit is the mean plus one standard deviation. This range contains approximately 68% of the data in a normal distribution.

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