Question 195196
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. 
These raw scores are converted with the formula z = (x - xbar)/sigma
Ex: z(340) = (340-300)/20 = 40/20 = 2
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Give the raw scores for persons whose Z scores on the test are (d) 2.4 , (e) 1.5, (f) 0 and (g) -4.5.
These z scores can be converted using x = z*sigma + xbar
Ex: x(2.4) = 2.4*20 + 300 = 48 + 300 = 348
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Cheers,
Stan H.