Question

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.)

Answer 1

Answer: 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.