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For Case 2, if the process center shifted to 16.5oz, what is the probability that the next sample average will be above the upper control

For Case 2, if the process center shifted to 16.5oz, what is the probability that the next sample average will be above the upper control limit (UCL)?

I need help finding the probability. Please show the equation of how you get there and use EXCEL.

image text in transcribed \begin{tabular}{|c|c|c|c|c|c|} \hline 1 & 15.8 & 16.1 & 16.3 & 16.4 & 16.4 \\ \hline 2 & 16.3 & 16.1 & 16.2 & 16.1 & 16.2 \\ \hline 3 & 16.2 & 16.4 & 16.4 & 16.6 & 16.4 \\ \hline 4 & 16.1 & 16.5 & 16.3 & 16.4 & 16.3 \\ \hline 5 & 16.6 & 16.0 & 16.5 & 16.1 & 16.2 \\ \hline 6 & 16.3 & 16.1 & 16.6 & 16.5 & 16.0 \\ \hline 7 & 15.9 & 15.8 & 16.3 & 16.3 & 16.2 \\ \hline 8 & 15.9 & 16.7 & 16.4 & 16.2 & 16.4 \\ \hline 9 & 16.2 & 16.6 & 16.1 & 16.3 & 16.5 \\ \hline 10 & 16.4 & 16.4 & 16.5 & 16.4 & 16.1 \\ \hline 11 & 16.1 & 16.1 & 16.2 & 16.4 & 16.4 \\ \hline 12 & 16.2 & 16.3 & 16.4 & 16.1 & 16.0 \\ \hline 13 & 16.5 & 16.5 & 15.9 & 16.3 & 16.3 \\ \hline 14 & 16.4 & 16.1 & 16.3 & 16.2 & 16.4 \\ \hline 15 & 16.3 & 16.5 & 16.4 & 16.2 & 16.4 \\ \hline 16 & 16.3 & 16.2 & 15.9 & 16.0 & 16.4 \\ \hline 17 & 16.2 & 16.1 & 16.6 & 16.2 & 16.4 \\ \hline 18 & 15.9 & 16.2 & 16.7 & 16.3 & 16.5 \\ \hline 19 & 16.4 & 16.1 & 16.2 & 16.3 & 16.0 \\ \hline 20 & 16.2 & 16.3 & 16.5 & 16.2 & 15.8 \\ \hline \end{tabular} \begin{tabular}{|c|c|c|c|c|c|} \hline 1 & 15.8 & 16.1 & 16.3 & 16.4 & 16.4 \\ \hline 2 & 16.3 & 16.1 & 16.2 & 16.1 & 16.2 \\ \hline 3 & 16.2 & 16.4 & 16.4 & 16.6 & 16.4 \\ \hline 4 & 16.1 & 16.5 & 16.3 & 16.4 & 16.3 \\ \hline 5 & 16.6 & 16.0 & 16.5 & 16.1 & 16.2 \\ \hline 6 & 16.3 & 16.1 & 16.6 & 16.5 & 16.0 \\ \hline 7 & 15.9 & 15.8 & 16.3 & 16.3 & 16.2 \\ \hline 8 & 15.9 & 16.7 & 16.4 & 16.2 & 16.4 \\ \hline 9 & 16.2 & 16.6 & 16.1 & 16.3 & 16.5 \\ \hline 10 & 16.4 & 16.4 & 16.5 & 16.4 & 16.1 \\ \hline 11 & 16.1 & 16.1 & 16.2 & 16.4 & 16.4 \\ \hline 12 & 16.2 & 16.3 & 16.4 & 16.1 & 16.0 \\ \hline 13 & 16.5 & 16.5 & 15.9 & 16.3 & 16.3 \\ \hline 14 & 16.4 & 16.1 & 16.3 & 16.2 & 16.4 \\ \hline 15 & 16.3 & 16.5 & 16.4 & 16.2 & 16.4 \\ \hline 16 & 16.3 & 16.2 & 15.9 & 16.0 & 16.4 \\ \hline 17 & 16.2 & 16.1 & 16.6 & 16.2 & 16.4 \\ \hline 18 & 15.9 & 16.2 & 16.7 & 16.3 & 16.5 \\ \hline 19 & 16.4 & 16.1 & 16.2 & 16.3 & 16.0 \\ \hline 20 & 16.2 & 16.3 & 16.5 & 16.2 & 15.8 \\ \hline \end{tabular}

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