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11 December, 09:12

The mean of a set of credit scores is Mu = 690 and sigma = 14. Which credit score is within a z-score of 3.3? 634 640 720 750

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  1. 11 December, 12:45
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    720

    Step-by-step explanation:

    To solve this question, we would be using the formula for z - score

    The formula for calculating a z-score is z = (x-μ) / σ

    where x = raw score

    μ = population mean

    σ = sigma = population standard deviation.

    From the question, we are given

    The mean of a set of credit scores Mu = 690

    sigma = population standard deviation 14

    z - score = 3.3

    This means we are to find x

    z = (x-μ) / σ

    3.3 = x - 690 / 14

    Cross Multiply

    3.3 * 14 = x - 690

    46.2 = x - 690

    x = 690 + 46.2

    x = 736.2

    Since we are told that it is a range, the closest out of the options given to our calculated x which is 736.2 is 720
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