Control charts for X and R are maintained on the shear strength of spot welds. One hundred observations divided into subgroups of size five are used as a baseline to construct the charts, and estimates of u and o are computed from these observa- tions. Assume that the 100 observations are X1, X2, . . . , X100 and the ranges of the 20 subgroups are R1, R2, . . . , R20- From these baseline data the following quanti- ties are computed: 100 20 X; = 97,500, R; = 1,042. Using this information, compute the values of three-sigma limits for both charts.

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For the given Problem, suppose that the probability of concluding that the process is out of control when it is actually in control is set at .02. Find the upper and the lower control limits for the resulting X- chart.

Control charts for X and R are maintained on the shear strength of spot welds. One
hundred observations divided into subgroups of size five are used as a baseline to
construct the charts, and estimates of u and o are computed from these observa-
tions. Assume that the 100 observations are X1, X2, . . . , X100 and the ranges of the
20 subgroups are R1, R2, . . . , R20- From these baseline data the following quanti-
ties are computed:
100
20
X; = 97,500, R; = 1,042.
Using this information, compute the values of three-sigma limits for both charts.
Transcribed Image Text:Control charts for X and R are maintained on the shear strength of spot welds. One hundred observations divided into subgroups of size five are used as a baseline to construct the charts, and estimates of u and o are computed from these observa- tions. Assume that the 100 observations are X1, X2, . . . , X100 and the ranges of the 20 subgroups are R1, R2, . . . , R20- From these baseline data the following quanti- ties are computed: 100 20 X; = 97,500, R; = 1,042. Using this information, compute the values of three-sigma limits for both charts.
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