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At a Water Bottling Facility, a Technician Is Testing a Bottle

question 108

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At a water bottling facility, a technician is testing a bottle filling machine that is supposed to deliver 750 milliliters of water. The technician dispenses 43 samples of water and determines the volume of each sample. The 43 samples have a mean volume of xˉ=751.1 mL\bar { x } = 751.1 \mathrm {~mL} . The machine is out of calibration if the mean volume differs from 750 mL750 \mathrm {~mL} .
The technician wants to perform a hypothesis test to determine whether the machine is ou calibration. The standard deviation of the dispensed volume is known to be σ=6.0\sigma = 6.0 value of the test statistic.


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