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.

Expert Solution

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 2 years ago

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