5.7 Exercises on Chapter 5

1. Two analysts measure the percentage of ammonia in a chemical process over 9 days and find the following discrepancies between their results:

Unnumbered Display Equation

Investigate the mean discrepancy θ between their results and in particular give an interval in which you are 90% sure that it lies.
2. With the same data as in the previous question, test the hypothesis that there is no discrepancy between the two analysts.
3. Suppose that you have grounds for believing that observations xi, yi for  , n are such that  and also  , but that you are not prepared to assume that the  are equal. What statistic would you expect to base inferences about θ on?
4. How much difference would it make to the analysis of the data in Section 5.1 on rat diet if we took  instead of  .
5. Two analysts in ...

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