Question

A process filling small bottles with baby formula has a target of 3.2 ouncesplus or minus0.270 ounce. Two hundred bottles from the process were sampled. The results showed the average amount of formula placed in the bottles to be 3.150 ounces. The standard deviation of the amounts was 0.072 ounce. Determine the value of Upper C Subscript pk. Roughly what proportion of bottles meet the​ specifications?

Answer 1

USL - upper specification limit = 3.2 +0.270 = 3.47 ISL z lower specification limit=3.2 -0. 270 = 2.93 mean = n=3.5 standard deviation =0=0.072 Upper CupK I (cletas upper apk =(USL-u) 3o. 3.47- 3.15 3 * 0.072 Upper CPL = 1.4814 lower Cple = (u-LSL) 30 = 3.15-2.93 34 0.072 I-0185 Process capability Inden: CPk - Min ( upperiple, Lower Cpk) - Upk = 1.0185. As Upk it means it is performing better than the specification required.