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In statistics, the "z" in a z-distribution refers to a standardized score known as a z-score. This score indicates how many standard deviations an individual data point is from the mean of a distribution. The z-distribution is a specific type of normal distribution with a mean of 0 and a standard deviation of 1, allowing for comparison of scores from different normal distributions.

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Is the f distribution same as z distribution?

Each different t-distribution is defined by which of the following? @Answer found in section 4.3 The One-sample t-Test, in Statistics for Managers


In statistics what does SE stand for. Someone asked this question and I have the answer can you find the person who posted this question?

SE stands for ''standard error'' in statistics. Thanx Sylvia It is the same as the standard deviation of a sampling distribution, such as the sampling distribution of the mean.


What is z scale?

In statistics, the z-scale results from a transformation by which a Gaussian (Normal) distribution with any mean and variance is converted to a standard form: the z-score. This is tabulated so that inferences may be drawn from observed data.


What is the normal distribution of 65 seconds and standard deviation 0.8?

If X is Normally distributed with mean 65 seconds and sd = 0.8 seconds, then Z = (X - 65)/0.8 has a Standard Normal distribution; that is, Z has a N(0, 1) distribution. The cumulative distribution for Z is easily available - on the net and in any basiic book on statistics. To get to the cumulative dirtribution function of X all you need is to use the transformation X = 0.8*Z + 65.


How do you graph normal distribution?

Tables of the cumulative probability distribution of the standard normal distribution (mean = 0, variance = 1) are readily available. Almost all textbooks on statistics will contain one and there are several sources on the net. For each value of z, the table gives Φ(z) = prob(Z < z). The tables usually gives value of z in steps of 0.01 for z ≥ 0. For a particular value of z, the height of the probability density function is approximately 100*[Φ(z+0.01) - Φ(z)]. As mentioned above, the tables give figures for z ≥ 0. For z < 0 you simply use the symmetry of the normal distribution.


Why you prefer normal distribution over other distribution in statistics?

Why we prefer Normal Distribution over the other distributions in Statistics


How do you determine your sample score on the comparison distribution?

To determine your sample score on the comparison distribution, you first need to calculate the sample mean and standard deviation. Then, you can use these statistics to find the z-score, which indicates how many standard deviations your sample mean is from the population mean. By comparing this z-score to critical values from the standard normal distribution, you can assess the significance of your sample score in relation to the comparison distribution.


Why you use z distribution?

A z distribution allows you to standardize different scales for comparison.


What is a bell-shaped distribution in statistics?

It is called a normal distribution.


Steps for how to do a z-score problem in statistics?

If you have a variable X distributed with mean m and standard deviation s, then the z-score is (x - m)/s. If X is normally distributed, or is the mean of a random sample then Z has a Standard Normal distribution: that is, a Gaussian distribution with mean 0 and variance 1. The probability density function of Z is tabulated so that you can check the probability of observing a value as much or more extreme.


What is the distribution of absolute values of a random normal variable?

It is the so-called "half-normal distribution." Specifically, let X be a standard normal variate with cumulative distribution function F(z). Then its cumulative distribution function G(z) is given by Prob(|X| < z) = Prob(-z < X < z) = Prob(X < z) - Prob(X < -z) = F(z) - F(-z). Its probability distribution function g(z), z >= 0, therefore equals g(z) = Derivative of (F(z) - F(-z)) = f(z) + f(-z) {by the Chain Rule} = 2f(z) because of the symmetry of f with respect to zero. In other words, the probability distribution function is zero for negative values (they cannot be absolute values of anything) and otherwise is exactly twice the distribution of the standard normal.


Give an example of symmetrical distribution in statistics?

example of symmetrical distribution

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