Comparing Inspectors. A manufacturer employs five persons who visually inspect circuit boards for flaws in the printed circuitry. A circuit board that is rejected at visual inspection but does not have the flaw claimed by the inspector is referred to as a “false reject.” Since false rejects add to manufacturing costs, the manufacturer wants to determine whether the false reject averages are the same for the five visual inspectors. To do so, the boards rejected by each inspector are checked for false rejects over six 1-week periods and the numbers of false rejects (FALSE) recorded. The resulting data are available in a file named INSPECT9 on the CD. In the MINITAB file, the variable FALSE will be one column. The variable INSPECTOR is a second column coded as 1, 2, 3, 4. or 5 to indicate the inspector. The data are in five separate columns in the Excel spreadsheet. The manufacturer wants to know if there is a difference in the population average number of false rejects for the five inspectors. Use a 5% level of significance in making the decision. State any hypotheses to be tested, the decision rule, the test statistic, and your decision.
(Source: This example is from Engineer Statistics: The Industrial Experience, pages 476–477.2)
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