Most supermarkets have invested heavily in optical scanner systems to expedite customer checkout, increase checkout productivity, and

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Most supermarkets have invested heavily in optical scanner systems to expedite customer checkout, increase checkout productivity, and improve product accountability. Th ese systems are not 100% eff ective, and items oft en have to be scanned several times. Sometimes items are entered into the manual cash register because the scanner cannot read the item number. In general, do optical scanners register signifi - cantly more items than manual entry systems do? Th e following data are from an experiment in which a supermarket selected 14 of its best checkers and measured their productivity both when using a scanner and when working manually. Th e data show the number of items checked per hour by each method. Use a Wilcoxon matched-pairs signed rank test and 0.05 to test the diff erence. Assume the underlying distributions are symmetrical.

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