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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.

  • statistics -

    z = (value - mean)/SD

    I'll do one of each type. It requires only algebra once you have the equation.

    a. z = (340 - 300)/20
    z = 2

    d. 2.4 = (value - 300)/20
    48 = value - 300
    value = 348

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