Specifications for a part for a $3-$D printer state that the part should weigh between $24\mathrm{.}7$ and $25\mathrm{.}7$ ounces. The process that produces the parts has a mean of $25\mathrm{.}2$ ounces and a standard deviation of $\mathrm{.}20$ ounce. The distribution of output is normal. Use Table$-$A$.$

a$.$What percentage of parts will not meet the weight specs? $($Round your $"$z$"$ value and final answer to $2$ decimal places.$)$

b$.$Within what values will $99\mathrm{.}74$ percent of the sample means of this process fall if samples of n $=10$ are taken and the process is in control $($random$)?($Round your answers to $2$ decimal places.$)$

c$.$ Using the control limits from part b$,$ would the following sample means be in control? $24\mathrm{.}52,24\mathrm{.}53,24\mathrm{.}44,24\mathrm{.}51,24\mathrm{.}41,24\mathrm{.}39$

multiple choice

This process is in control.

This process is not in control.