Assume that the control limits of an 
chart are defined as 2 standard errors above and below the centerline.Calculate the probability that a sample mean falls outside the control limits when the process is in fact under control.
Definitions:
Dependent Variables
Dependent variables are outcomes or responses whose changes are influenced by the manipulation of independent variables in an experimental setup.
Positively Related
A relationship between two variables in which they move in the same direction.
Slope Regression Coefficient
A parameter in linear regression that quantifies the change in the dependent variable for each unit change in an independent variable.
Simple Linear Regression
A statistical method that models the relationship between a dependent variable and one independent variable by fitting a linear equation to observed data.
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