For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50. What is the sample standard deviation?​ Gr

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For a sample of n = 30 scores, a score that is 6 points above the mean has a z-score of z = 1.50. What is the sample standard deviation?​ Group of answer choices

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Alice 6 days 2021-11-23T21:58:23+00:00 1 Answer 0 views 0

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    2021-11-23T22:00:09+00:00

    Answer:

    4

    Step-by-step explanation:

    The z-score is calculated by the following formula

    z=(x-μ)/σ

    where

    μ=Population mean

    σ=Population standard deviation

    If the z-score for a specific sample mean is discussed then z-score is computed as

    z=xbar-μ/σxbar.

    where

    μ=Population mean

    σxbar=Sample standard deviation

    As the population mean and mean of sampling distribution of mean are equal so, μ is used in above equation.

    Now, the z-score is given

    1.5=xbar-μ/σxbar

    σxbar=xbar-μ/1.5.

    Also we know that z-score corresponds to a score that is 6 points above mean which means that xbar-μ=6.

    σxbar=6/1.5

    σxbar=4.

    Thus, the required sample standard deviation is 4.

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