They should be.
Yes, although the z-scores associated with p-values of 0.01 and 0.05 have special significance, perhaps mostly for historical reasons, all possible z-scores from negative infinity to positive infinity have meaning in statistical theory and practice.
A Z score of 300 is an extremely large number as the z scores very rarely fall above 4 or below -4. About 0 percent of the scores fall above a z score of 300.
z = 1.281551
Best to use a histogram i think! z scores can probably be used too however they seem more a method of how to transform outliers in workable scores.
If the distribution is Gaussian (or Normal) use z-scores. If it is Student's t, then use t-scores.
An advantage of using a z-score is that it allows you to compare two scores in the same manner. ?æIt standardizes the scores so that they can be compared to one another.?æ
They should be.
True or False, One major advantage of transforming X values into z-scores is that the z-scores always form a normal distribution
No, the Z-test is not the same as a Z-score. The Z-test is where you take the Z-score and compare it to a critical value to determine if the null hypothesis will be rejected or fail to be rejected.
Yes, although the z-scores associated with p-values of 0.01 and 0.05 have special significance, perhaps mostly for historical reasons, all possible z-scores from negative infinity to positive infinity have meaning in statistical theory and practice.
A Z score of 300 is an extremely large number as the z scores very rarely fall above 4 or below -4. About 0 percent of the scores fall above a z score of 300.
Z = (x minus mu) divided by sigma.
z-scores are distributed according to the standard normal distribution. That is, with the parameters: mean 0 and variance 1.
z = 1.281551
No, they do not. They are pure numbers.
Using z-scores allows for standardizing data so that different datasets can be easily compared. They also provide insight into how far a data point is from the mean, helping identify outliers. Additionally, z-scores are used to calculate probabilities and make statistical inferences.