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12 September, 13:07

Genius society requires an IQ that is in the top 2% of the population in order to join. If an IQ test has a mean of 100 and a standard deviation of 15, what is the minimum qualifying score to join the genius society?

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  1. 12 September, 13:38
    0
    2.053748176 (15) + 100 = 130.8

    The correct answer is:

    B: 130
  2. 12 September, 16:14
    0
    For number 1 we need Pr (X > x) = 0.02

    which is pr (X
    We will determine z such that pr (Z
    and in place of the table, I will use Microsoft Excel

    =norminv (0.98,0,1)

    which gives the number z satisfying Pr (Z
    Result is 2.053748176

    so

    x - 100

    ▬▬▬ ... = ... 2.053748176

    15

    so

    x = 2.053748176 (15) + 100 = 130.8
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