$12-7.$ An $"$x$-$bar" control chart is developed for recording the mean value of a quality character$-$

$...$istic by use of a sample size of three. The control chart has control limits $($LCL and UCL$)$

of $1\mathrm{.}000$ and $1\mathrm{.}020$ pounds, respectively. If a new sample of three items has weights of

$1\mathrm{.}023,0\mathrm{.}999,$ and $1\mathrm{.}025,$ what can we say about the lot $($batch$)$ it came from?