A bottling machine fills soft drink bottles with an average of 12.000 ounces with a standard deviation of 0.002 ounces.Determine the process capability index,C_p,if the design specification for the fill weight of the bottles is 12.000 ounces plus or minus 0.015 ounces. A)1.25 B)2.5 C)7.5 D)12.5

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Quizplus · Accepted Answer

The process capability index, C_p, is calculated as (USL - LSL) / (6 * standard deviation). Here, USL = 12.015, LSL = 11.985, and standard deviation = 0.002. So, C_p = (12.015 - 11.985) / (6 * 0.002) = 0.03 / 0.012 = 2.5.

A Bottling Machine Fills Soft Drink Bottles with an Average