A Quality Analyst wants to construct a sample mean chart for controlling a packaging process. The analyst knows from past experience that whenever this process is under control, package weight is normally distributed with a mean of twenty ounces and a standard deviation of two ounces. Each day last week, the analyst randomly selected four packages and weighed each with the following results:$0$:$53$:$12$okDayWeight $($ounces$)$Monday$23222324$Tuesday$23211921$Wednesday$20192021$Thursday$18192019$Friday$18202220$If upper and lower control limits of $23$ and $17$ ounces are used, what is his risk of concluding this process is in control when it is actually out of controlIl error$)?$Multiple Choice$0\mathrm{.}31740\mathrm{.}95440\mathrm{.}68260\mathrm{.}04560\mathrm{.}0026$