Tablet hardness. Exercise 27.10 concerns process control data on the hardnessof tablets

Chapter 0, Problem 27.12

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Tablet hardness. Exercise 27.10 concerns process control data on the hardnessof tablets (measured in kilograms) for a pharmaceutical product. Table 27.4 givesdata for 20 new samples of size 4, with the x and s for each sample. The processhas been in control with mean at the target value = 11.5 kg and standarddeviation = 0.2 kg.(a) Make both x and s charts for these data based on the information given aboutthe process.(b) At some point, the within-sample process variation increased from =0.2 kg to = 0.4 kg. About where in the 20 samples did this happen? What isthe effect on the s chart? On the x chart?(c) At that same point, the process mean changed from = 11.5 kg to =11.7 kg. What is the effect of this change on the s chart? On the x chart?

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