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    Confidence Interval: Sampling Soybean Meal

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    A sampling of a lot of soybean meal gave the following composition for Lysine in (grams/kilogram):

    22.2
    24.8
    24.7
    26.5
    20.9
    23.8
    26.0
    25.6
    27.0
    23.9

    Do the following:
    a) Construct a 99% two sided confidence interval for (std. deviation)^2.
    b) Calculate a 99% lower confidence bound for (std deviation)^2.
    c) Calculate a 90% lower confidence bound for (std deviation).
    d) Compare the intervals computed.

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    https://brainmass.com/statistics/confidence-interval/confidence-interval-sampling-soybean-meal-192517

    Solution Preview

    (a) Variance for the given data = (sigma)^2 = 3.658
    Standard error of (sigma)^2 = SE = (sigma)^2 * sqrt(2/n) = 3.658 * sqrt(2/10) = 1.636
    The 99% CI for the variance = [variance - 2.576 * SE, ...

    Solution Summary

    In about 160 words, a neat, step-by-step solution is provided which outlines how to construct a two-sided confidence interval and lower confidence bound. All calculations are provided.

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