Estimating the accuracy of the coverages of outer β-content tolerance intervals,which control both tails of the normal distribution |
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Authors: | Youn-Min Chou D B Owen |
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Abstract: | Tolerance limits which control both tails of the normal distribution so that there is no more than a proportion β1 in one tail and no more than β2 in the other tail with probability γ may be computed for any size sample. They are computed from X? - k1S and X? - k2S, where X? and S are the usual sample mean and standard deviation and k1 and k2 are constants previously tabulated in Odeh and Owen 3]. The question addressed is, “Just how accurate are the coverages of these intervals (– Infin;, X? – k1S) and (X? + k2S, ∞) for various size samples?” The question is answered in terms of how widely the coverage of each tail interval differs from the corresponding required content with a given confidence γ′. |
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