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1. Tyler Apiaries sells bees and beekeeping supplies. Bees (including a queen) are shipped in special...

1. Tyler Apiaries sells bees and beekeeping supplies. Bees (including a queen) are shipped in special packages according to weight. The target weight of a package is 4 kgs. Historically, Tyler’s shipments have weighed on average 5 kgs, with a standard deviation of 0.10 kgs. Calculate the process capability, assuming the lower and upper tolerance limits are 1 kgs and 1.7 kgs respectively. Is Tyler Apiaries currently able to meet the tolerance limits 99.7% of the time?

2. Suppose Tyler improves its processes so that the average package weight is now 1.4 kgs with a new standard deviation of 0.06 kgs. The tolerance limits remain as before. Is the new process capable 99.7% of the time?

3. Referring back to problems 1 and 2 above, what would the standard deviation have to be for Tyler Apiaries to achieve Six Sigma quality levels (+/- 6 sigma) with regard to the weight of the bee packages?

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