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 now kg, with a new standard deviation of kg. Tyler markets the packages of bees as weighing kg, and the lower and upper tolerance limits are kg and kg, respectively. Calculate the process capability index for the weight of the bee packages. Is Tyler able to meet the tolerance limits? The process capability index for the weight of the bee packages is nothing. (Enter your response rounded to three decimal places.)

0.33

Explanation:

Process capability index (CPK) will be the minimum value between the following;

= [(Mean - Lower specification) / (3 * standard deviation)] and [ (Upper specification - Mean) / (3 * standard deviation)]

Lower specification = 1.1

Upper specification = 1.7

Mean = 1.5

Standard deviation = 0.2

= [(Mean - Lower specification) / 3 * standard deviation]

= [(1.5 - 1.1) / (3 * 0.2)]

= 0.67

= [ (1.7 - 1.5) / (3 *0.2)]

= 0.33

CPK = 0.33

A CPK of less than 1 means that Tyler will not be able to meet the tolerance limits as the process does not meet specifications.

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explanation: