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Math Help - Statistical Modelling

  1. #1
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    Statistical Modelling

    A measuring technique is biased if the population mean of
    replicate measurements made by it differs from the true value of what
    is being measured. In ”Selected Values of the Thermodynamic Prop-
    erties of the Elements” (American Society for Metals, 1973) a value
    of 1246 degrees celcius is given for the melting point of manganese.
    Suppose that 4 determinations carried out by the metallurgist gave, in
    degrees Celcius: 1247, 1254, 1250, 1253. Taking the published value
    to be the true value, would you judge the metallurgist’s results to be
    biased if you were prepared to take a 5% risk of making a false accu-
    sation of bias? Would your answer be the same if this chance is only
    1%? What judgment would you make in this respect if the data were
    1261, 1268, 1264, 1267.
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by mamt6 View Post
    A measuring technique is biased if the population mean of
    replicate measurements made by it differs from the true value of what
    is being measured. In ”Selected Values of the Thermodynamic Prop-
    erties of the Elements” (American Society for Metals, 1973) a value
    of 1246 degrees celcius is given for the melting point of manganese.
    Suppose that 4 determinations carried out by the metallurgist gave, in
    degrees Celcius: 1247, 1254, 1250, 1253. Taking the published value
    to be the true value, would you judge the metallurgist’s results to be
    biased if you were prepared to take a 5% risk of making a false accu-
    sation of bias? Would your answer be the same if this chance is only
    1%? What judgment would you make in this respect if the data were
    1261, 1268, 1264, 1267.
    If you assume that measurement errors are normally distributed would that help?

    Does the t-distribution then have anything to do with the question?

    CB
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