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3 August, 23:20

37 packages are randomly selected from packages received by a parcel service. The sample has a

mean weight of 10.3 pounds and a standard deviation of 2.4 pounds. What is the 95% confidence

interval for the true mean weight, µ, of all packages received by the parcel service?

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  1. 3 August, 23:41
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    True mean = mean + / - Z * (SD/sqrt (n))

    Where

    Z = 1.96 at 95% confidence interval

    Mean = 10.3 pounds

    SD = standard deviation = 2.4 pounds

    n = sample size = 37 packages

    Substituting;

    True mean range = 10.3 + / - 1.96 * 2.4/Sqrt (37) = 10.3 + / - 0.77 = 9.53
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