Autopitch devices are made for both$$ major$-$ and$$ minor$-$league teams to help them improve their batting averages. When set at the standard$$ position, Autopitch can throw hardballs toward a batter at an average speed of $59$ mph$.$ To monitor these devices and to maintain the highest$$ quality, Autopitch executive Neil Geismar takes samples of $10$ devices at a time. The average range is $4$ mph$.$

Part $2$

$$a$)$ Using this$$ information, construct control limits for the x overbar$-$chart.

UCL Subscript x overbarequals

$$

enter your response here mph $($round your response to three decimal$$ places$)$