Question 1117263: For a sample with a mean of M = 50 and a standard deviation of s = 10, a z-score of z = +2.00 corresponds to X = 70.
True
False
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! formula for z-score is:
z = (x - m) / s
x is the score you are comparing to the mean.
m is the mean.
s is the standard deviation / standard error
when z = 2 and m = 50 and s = 10, you get:
2 = (x - 50) / 10
solve for x to get x = 20 + 50 = 70
therefore true.
the z-score tells you the number of standard deviations / standard errors you are above or below the mean.
the z-score of 2 tells you you are 2 standard deviations / standard errors you are above the mean.
2 * 10 = 20 + 50 = 70
standard error is involved with sample means which you will learn about later if you haven't already.
so, until then, the formula is z = (x - m) / s, where s is the standard deviation.
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