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2 February, 08:32

SAT verbal scores are normally

distributed with a mean of 450

and a standard deviation of 120.

Determine what percent of the

scores lie between 450 and 570.

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Answers (1)
  1. 2 February, 08:39
    0
    The percentage of the scores lying between 450 and 750 is 49.4%

    Step-by-step explanation:

    In this question, we are simply asked to calculate the percentage of the scores lying between a particular range.

    The first thing to do here is to calculate the z score of both scores

    Mathematically, z score = (x - mean) / SD

    for score 450, we have; z = (450-450) / 120 = 0/120 = 0

    For score 750, we have z = (750-450) / 120 =

    2.5

    Now, we move on to calculate the probability before turning it into a percentage.

    The supposed probability we are to calculate is as follows;

    P (450 < x < 750) or P (0 < z < 2.5)

    Using standard score table, P = 0.49379

    The percentage is thus 49.4%
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