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The weight of a packaged foodstuff will be investigated with the help of control charts. For this purpose, the measurement values, means and range values

image text in transcribedimage text in transcribedimage text in transcribedimage text in transcribed The weight of a packaged foodstuff will be investigated with the help of control charts. For this purpose, the measurement values, means and range values of 25 units taken in regular intervals are given in the following table. Based on this information, draw and interpret the control charts. \begin{tabular}{|c|c|c|c|c|c|c|c|} \hline \begin{tabular}{l} Sample \\ number \end{tabular} & 1 & 2 & 3 & 4 & Total & x & R \\ \hline 1 & 500,4 & 500,2 & 501,1 & 501,3 & 2003 & 500,75 & 1,1 \\ \hline 2 & 500 & 500,1 & 500 & 501 & 2001,1 & 500,28 & 1 \\ \hline 3 & 499,8 & 499,2 & 500,1 & 500,2 & 1999,3 & 499,83 & 1 \\ \hline 4 & 499,3 & 500,6 & 500,3 & 499,5 & 1999,7 & 499,93 & 1,3 \\ \hline 5 & 500,1 & 499,2 & 499,9 & 500,1 & 1999,3 & 499,83 & 0,9 \\ \hline 6 & 500,2 & 498,1 & 499,8 & 500,3 & 1998,4 & 499,6 & 2,2 \\ \hline 7 & 500,9 & 501,2 & 502,1 & 500,9 & 2005,1 & 501,28 & 1,2 \\ \hline 8 & 499,8 & 500,1 & 500,2 & 500,4 & 2000,5 & 500,13 & 0,6 \\ \hline 9 & 498,2 & 498,6 & 500,1 & 500,9 & 1997,8 & 499,45 & 2,7 \\ \hline 10 & 500,6 & 500,7 & 500,3 & 499,2 & 2000,8 & 500,2 & 1,5 \\ \hline 11 & 499,8 & 500,1 & 500,6 & 500,1 & 2000,6 & 500,15 & 0,8 \\ \hline 12 & 499,7 & 500,1 & 499,6 & 500,2 & 1999,6 & 499,9 & 0,6 \\ \hline 13 & 499,3 & 498,6 & 499,1 & 499,2 & 1996,2 & 499,05 & 0,7 \\ \hline 14 & 500,2 & 500,9 & 501,3 & 501,6 & 2004 & 501 & 1,4 \\ \hline 15 & 500,9 & 501,2 & 500,3 & 501,1 & 2003,5 & 500,88 & 0,9 \\ \hline 16 & 500,1 & 500,3 & 500,2 & 500,1 & 2000,7 & 500,18 & 0,2 \\ \hline 17 & 499,2 & 499,6 & 500,1 & 500,6 & 1999,5 & 499,88 & 1,4 \\ \hline 18 & 501,3 & 501,6 & 500,3 & 500,6 & 2003,8 & 500,95 & 1,3 \\ \hline 19 & 500,2 & 500,1 & 499,3 & 500,3 & 1999,9 & 499,98 & 0,5 \\ \hline 20 & 500,8 & 501,1 & 500,6 & 500,7 & 2003,2 & 500,8 & 0,5 \\ \hline 21 & 499,1 & 499,2 & 500,8 & 501,1 & 2000,2 & 500,05 & 2 \\ \hline 22 & 501,1 & 501,9 & 500,2 & 500 & 2003,2 & 500,8 & 1,9 \\ \hline 23 & 500 & 500,4 & 500,7 & 500,6 & 2001,7 & 500,43 & 0,7 \\ \hline 24 & 499,8 & 499,1 & 500,4 & 500,1 & 1999,4 & 499,85 & 1,3 \\ \hline 25 & 499,1 & 501,1 & 500,6 & 500,3 & 2001,1 & 500,28 & 1,5 \\ \hline Average & & & & & & 500,2184 & 1,168 \\ \hline \end{tabular} Example 4: Xbar Chart: LCL=xA2RA2=d2n3CL=xUCL=x+A2R R Chart: LCL=D3RCL=RD3=1d2d3D4=1+d2d3

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