Tyler Apiaries sells bees and beekeeping supplies. Bees (including a queen) are shipped in special packages according to weight. Suppose Tyler changes its processes so that the average package weight is 1.9kg, with a new standard deviation of0.14 kg. Tyler markets the packages of bees as weighing 1.8 kg, and the lower and upper tolerance limits are 1.1 kg and 2.5 kg, respectively. Calculate the process capability index for the weight of the bee packages. Is Tyler able to meet the tolerance limits?

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fichoh fichoh · Answer 1 · 2020-09-27T12:34:40+02:00

Answer: 0.143

Explanation:

Given the following :

Average package weight(m) = 1.9kg

Standard deviation(sd) = 1.4kg

Upper Tolerance Limit (UTL) = 2.5kg

Lower Tolerance limit (LTL) = 1.1kg

Cpk = min[( average weight -Lower Tolerance Limit / 3 (standard deviation) , (UTL- average weight / 3(Standard Deviation)]

Cpk = min[( 1.9 - 1.1 / 3 (1.4)) , (2.5 - 1.9 / 3(1.4))]

Cpk = min[(0.8 / 4.2), (0.6 / 4.2)]

Cpk = min[0.190, 0.143])

Hence,

Process capability index = 0.143