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15 August, 20:36

Use the given information to construct a 99% confidence interval estimate of the mean of the population. n = 39, σ = 3.86, Xbar = 41.7

40.1 < μ < 43.3

40.5 < μ < 42.9

-9.4 < μ < 92.8

41.4 < μ < 42.0

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  1. 15 August, 20:53
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    40.1 < μ < 43.3

    Step-by-step explanation:

    Margin of error = critical value * standard error

    ME = CV * SE

    At 99% confidence and 38 degrees of freedom, CV = 2.712.

    SE = s / √n

    SE = 3.86 / √39

    SE = 0.618

    So the margin of error is:

    ME = 2.712 * 0.618

    ME = 1.7

    So the 99% confidence interval of the population mean is:

    μ = 41.7 ± 1.7

    40.0 < μ < 43.4

    Closest answer is the first one.
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