XF Electronics Scenario

Use the information given below for all questions about this scenario.

XF Electronics is a new startup manufacturing high quality interior panels for expensive

cars using premium materials. The manufacturing process is manual and based on the skill

of the worker can result in some small scratches. Management wants to use control charts

to ensure the number of scratches does not get too high.

The quality manager has examined $10$ panels and recorded the number of scratches

observed on each below.

What is the upper control limit $($UCL$)$ for a $3$ sigma control chart? Enter your answer

rounded to $3$ decimal places.