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15 May, 15:44

The range of values for the sample mean that fall within 1 standard error of the mean in a sampling distribution is M39 to M43. What Is the mean of the sampling distribution, and what is the standard error

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  1. 15 May, 18:01
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    The question is incomplete! The complete question along with answer and explanation is provided below.

    Question:

    The range of values for the sample mean that fall within 1 standard error of the mean in a sampling distribution is M = 39 to M = 43. What Is the mean of the sampling distribution, and what is the standard error

    a) mean = 41, standard error = 2

    b) mean = 39 or 43, standard error = 2

    c) mean = 41, standard error = 4

    e) the mean and standard error are unknowns

    Given Information:

    Standard error = 1

    Range of values = 39 to 43

    Required Information:

    Mean and standard error = ?

    Answer:

    Mean is 41 and Standard error is 2

    Explanation:

    We know that the mean and standard error are related as

    s = μ + (1) ο

    s = μ - (1) ο

    43 = μ + (1) ο

    39 = μ - (1) ο

    option (a) satisfies the above equations

    43 = 41 + (1) 2

    43 = 43

    39 = 41 - (1) 2

    39 = 39

    Therefore, the correct option is (a)

    Mean is 41 and standard error is 2
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