Answer:
the sigma quality level is 8.33
Step-by-step explanation:
given the data in the question;
Target of a delivery process = 5 hours plus or minus one hour i.e 5 ± 1
standard deviation of the process σ = 0.24 hours.
so,
The Lower Limit [tex]L_L[/tex] of the target will be;
[tex]L_L[/tex] = 5 hours - 1 hours = 4 hours
And the Upper Limit [tex]U_L[/tex] of the target will be;
[tex]U_L[/tex] = 5 hours + 1 hours = 6 hours
sigma quality level = ?
Now, to get the sigma quality level, we use the following expression;
sigma quality level = ( Upper Limit [tex]U_L[/tex] of the target - Lower Limit [tex]L_L[/tex] of the target ) / standard deviation of the process
sigma quality level = ( [tex]U_L[/tex] - [tex]L_L[/tex] ) / σ
so we substitute in our values
sigma quality level = ( 6 - 4 ) / 0.24
sigma quality level = 2 / 0.24
sigma quality level = 8.33
Therefore, the sigma quality level is 8.33
