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27 May, 23:20

Use the confidence level and Sample data to find the margin of error E. Round your answer to the same number of decimal places as the sample mean unless otherwise noted.

College students annual earnings: 99% confidence; n=76, x=$3016, standard deviaton=$872

A) $233

B) $891

C) $258

D) $196

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  1. 27 May, 23:50
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    C) $258

    Step-by-step explanation:

    Margin of error = critical value * standard error

    ME = CV * SE

    n > 30, so we can approximate CV with a normal distribution. At P = 99%, CV = 2.576.

    SE = σ / √n

    SE = 872 / √76

    SE = 100

    So the margin of error is:

    ME = 2.576 * 100

    ME = 258
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