Discuss the relationship between a control chart and statist

Discuss the relationship between a control chart and statistical hypothesis testing.

Solution

sol)

1)The control chart is mathematically equivalent to a series of statistical hypothesis tests. If a plot point is within control limits, say for the average , the null hypothesis that the mean is some value is not rejected. However, if the plot point is outside the control limits, then the hypothesis that the process mean is at some level is rejected. A control chart shows, graphically, the results of many sequential hypothesis tests.