Describe how both the X and R or s chart would look if they were under...

Describe how both the X and R or s chart would look if they were under normal statistical control.

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Statistical Control charts are used to routinely monitor quality.

there are two basic types of control charts.T he first, referred to as a univariate control chart, is a graphical display (chart) of one quality characteristic. The second, referred to as a multivariate control chart, is a graphical display of a statistic that summarizes or represents more than one quality characteristic.

1) x̅ and s chart:

In statistical quality control, the x̅and s chart is a type of control chart used to monitor variables data when samples are collected at regular intervals from a business or industrial process.

The chart is advantageous in the following situations:

1.The sample size is relatively large 2.The sample size is variable 3.Computers can be used to ease the burden of calculation

The chart actually consists of a pair of charts: One to monitor the process standard deviation and another to monitor the process mean, as is done with the x̅ and R and individuals control charts.The and s chart plots the mean value for the quality characteristic across all units in the sample, x̅_i, plus the standard deviation of the quality characteristic across all units in the sample as follows

s = √Σ (x_i-x̅)² /n-1

2) x̅ and R chart :

In statistical quality control, the x̅ and R chart is a type of control chart used to monitor variables data when samples are collected at regular intervals from a business or industrial process.

The chart is advantageous in the following situations:

1.The chart is advantageous in the following situations 2.The sample size is constant 3.Humans must perform the calculations for the chart

The chart actually consists of a pair of charts: One to monitor the process standard deviation (as approximated by the sample moving range) and another to monitor the process mean,

as is done with the x̅ and s and individuals control charts. The x̅ and R chart plots the mean value for the quality characteristic across all units in the sample, x̅_i plus the range of the quality characteristic across all units in the sample as follows

R = x_max - x_min

samet mamat answered 1 year ago

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