It is important to control the net weight of a packaged item; thus, items are selected

Chapter 9, Problem 9.7-3

(choose chapter or problem)

It is important to control the net weight of a packaged item; thus, items are selected randomly throughout the day from the production line and their weights are recorded. Use the following 20 sets of 5 weights (in grams) for this exercise (note that a weight recorded here is the actual weight minus 330): Observations x sR 7.97 8.10 7.73 8.26 7.30 7.872 0.3740 0.96 8.11 7.26 7.99 7.88 8.88 8.024 0.5800 1.62 7.60 8.23 8.07 8.51 8.05 8.092 0.3309 0.91 8.44 4.35 4.33 4.48 3.89 5.098 1.8815 4.55 5.11 4.05 5.62 4.13 5.01 4.784 0.6750 1.57 4.79 5.25 5.19 5.23 3.97 4.886 0.5458 1.28 4.47 4.58 5.35 5.86 5.61 5.174 0.6205 1.39 5.82 4.51 5.38 5.01 5.54 5.252 0.5077 1.31 5.06 4.98 4.13 4.58 4.35 4.620 0.3993 0.93 4.74 3.77 5.05 4.03 4.29 4.376 0.5199 1.28 4.05 3.71 4.73 3.51 4.76 4.152 0.5748 1.25 3.94 5.72 5.07 5.09 4.61 4.886 0.6599 1.78 4.63 3.79 4.69 5.13 4.66 4.580 0.4867 1.34 4.30 4.07 4.39 4.63 4.47 4.372 0.2079 0.56 4.05 4.14 4.01 3.95 4.05 4.040 0.0693 0.19 4.20 4.50 5.32 4.42 5.24 4.736 0.5094 1.12 4.54 5.23 4.32 4.66 3.86 4.522 0.4999 1.37 5.02 4.10 5.08 4.94 5.18 4.864 0.4360 1.08 4.80 4.73 4.82 4.69 4.27 4.662 0.2253 0.55 4.55 4.76 4.45 4.85 4.02 4.526 0.3249 0.83 (a) Calculate the values of x, s, and R. (b) Use the values of A3 and s to construct an x chart. (c) Construct an s chart. (d) Use the values of A2 and R to construct an x chart. (e) Construct an R chart. (f) Do the charts indicate that these fill weights are in statistical control?