Question 258305: On a standard measure of hearing ability, the mean is 300 and the standard deviation
is 20. Give the Z scores for persons who score (a) 340, (b) 310, and
(c) 260. Give the raw scores for persons whose Z scores on this test are (d) 2.4,
(e) 1.5, (f) 0, and (g)-4.5.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! On a standard measure of hearing ability, the mean is 300 and the standard deviation is 20.
Give the Z scores for persons who score
(a) 340, (b) 310,(c) 260.
You are given the raw scores (x)
You can find the z-score using the formula
z = (x-u)/sigma
Example:
z(340) = (340-300)/20 = 40/20 = 2
Do the same for x = 310 and for x = 260
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Give the raw scores for persons whose Z scores on this test are (d) 2.4,
(e) 1.5, (f) 0, and (g)-4.5.
You are given the z-scores (z)
You can find the raw scores (x) using the formula
x = zs + u
Example
If z = 1.5, x = 1.5*20 + 300
x = 30 + 300
x = 330
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Cheers,
Stan H.
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