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14 August, 18:14

we choose a sample of size 100 from a population of monthly cable bills having standard deviation $20 If we assume the population mean bill is $65, what is the probability mean of our sample is greater than $70.

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  1. 14 August, 21:07
    0
    0.0062

    Step-by-step explanation:

    Find the standard error.

    σ = 20 / √100

    σ = 2

    Find the z-score.

    z = (x - μ) / σ

    z = (70 - 65) / 2

    z = 2.5

    Find the probability.

    P (Z > 2.5) = 1 - 0.9938

    P (Z > 2.5) = 0.0062
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