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

question 63

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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 38 samples of water and determines the volume of Each sample. The 38 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 mL.
The technician wants to perform a hypothesis test to determine whether the machine is out of calibration. The Standard deviation of the dispensed volume is known to be σ=5.1\sigma = 5.1 Compute the value of the test statistic.


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