A coffee company is attempting to make certain that all its packaged coffee bean

Question

A coffee company is attempting to make certain that all its packaged coffee beans contain the same amount of coffee bean by weight. Over the last few days, it has taken several samples. The overall average weight of the sampled packages is 16 ounces, with an average range of 3 ounces. Each sample was of four packages. What would be the 99.7 upper and lower control limits for an R chart? A local children's boutique specializes in formal wear for young girls. It has recently hired a new seamstress. To assure the dresses have standard sizes, twenty samples of each 12 dresses that were labeled 3T were sampled. The average length from shoulder to hemline measured 21 inches with a range of 0.5 inches. A sample has just been taken with the following lengths: 21.25, 22.0, 21.5, 20.75, 21.25, 21.35, 21.35, 21.35, 21.35, 21.35, 21.35, and 21.35. Is the new seamstress performing at an acceptable quality level?

Explanation / Answer

Part 1

Upper limit for R chart = D4*R

Lower limit = D3*R

D4 at 4 sample size = 2.282

D3 at 4 sample size = 0

Lower limit = 0

Upper limit =2.282*3 = 6.846

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