A Foreman Wants to Use An $\bar { X }$ Chart to Control the Average Length of the Bolts Manufactured

Multiple Choice

A foreman wants to use an $\bar { X }$
Chart to control the average length of the bolts manufactured.He has recently collected the six samples given below. $$\begin{array} { c c c c c } \text { Sample } & & & & \\1 & 1.99 & 2.01 & 2.02 & 2.02 \\2 & 2.00 & 2.00 & 2.01 & 2.01 \\3 & 1.98 & 1.99 & 2.01 & 1.98 \\4 & 2.01 & 2.02 & 2.02 & 1.99 \\5 & 1.99 & 1.99 & 2.01 & 1.99 \\6 & 2.03 & 1.98 & 2.03 & 2.04\end{array}$$
Determine the LCL and the UCL for the R chart.

A) [0,.0685]
B) [0,.076]
C) [0,.03]
D) [0,.0601]