A z-score is measured in units of the standard deviation. For example, if the mean of a normal distribution is five and the standard deviation is two, the value 11 is three standard deviations above (or to the right of) the mean. The calculation is as follows: x = μ + (z)(σ) = 5 + (3)(2) = 11. The z-score is three. The mean for the standard Two-sample z-test: Used to test whether two population means are equal. Step 1: State the null and alternative hypothesis. Step 2: Calculate the z-value. Step 3: Calculate the p-value that corresponds to the z-value. For each test, the z-value is a way to quantify the difference between the population means and the p-value is the probability of The standardized normal distribution is a type of normal distribution, with a mean of 0 and standard deviation of 1. It represents a distribution of standardized scores, called z-scores, as opposed to raw scores (the actual data values).A z-score indicates the number of standard deviation a score falls above or below the mean.Z-scores allow for comparison of scores, occurring in different data Because the total area under the curve is equal to 1.0, that means that the proportion of the area outside z z = -1.0 and z z = 1.0 is equal to 1.0 - 0.6800 = 0.3200 or 32% (see Figure 4.3.1 4.3. 1 below). This area is called the area in the tails of the distribution. Because this area is split between two tails and because the normal The Z-score is 2.333. This value is greater than the critical value of 1.960, making the results statistically significant. Below is a graphical representation of our Z test results showing how the Z statistic falls within the critical region. What actually does this Z score mean? Let us consider the Z score of 23. It is 1.32, which means that 23 is 1.32 times the standard deviation away from it's mean! That is, as mean is 17 and the EaLxAp.

what does the z score represent