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If a random variable X has a Normal distribution with mean M and variance S2, then

Z = (X - M)/S

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Q: How to find z scores?
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How do you find normal distribution of z-scores?

z-scores are distributed according to the standard normal distribution. That is, with the parameters: mean 0 and variance 1.


When to you use a z scores or t scores?

If the distribution is Gaussian (or Normal) use z-scores. If it is Student's t, then use t-scores.


Are normal scores the same as z-scores?

They should be.


What is one advantage of transforming X values into z-scores?

True or False, One major advantage of transforming X values into z-scores is that the z-scores always form a normal distribution


How do you find p value with z score only?

You either look it up in a table of z scores or you can use a calculator such as the TI8 and use normalcdf.


Is the Z-test the same as Z-scores?

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.


Are all standard scores z-scores in statistics?

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.


In a standard normal distribution about percent of the scores fall above a z score of 300?

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.


What is the formula for z scores?

Z = (x minus mu) divided by sigma.


What z-score separates the top 10 percent from the rest of the scores?

z = 1.281551


Do z-scores have a units of measure?

No, they do not. They are pure numbers.


If a normally distributed group of test scores have a mean of 70 and a standard deviation of 12 find the percentage of scores that will fall below 50?

X = 50 => Z = (50 - 70)/12 = -20/12 = -1.33 So prob(X < 50) = Prob(Z < -1.33...) = 0.091