Specifications for a part for a $3-$D printer state that the part should weigh between $25\mathrm{.}1$ and $26\mathrm{.}1$ ounces. The process that produces the

parts has a mean of $25\mathrm{.}6$ ounces and a standard deviation of $\mathrm{.}24$ ounce. The distribution of output is normal. Use Table A$.$

a$.$ What percentage of parts will not meet the weight specs?

Note: Round your $"$z$"$ value and final answer to $2$ decimal places.

Percentage of parts

b$.$ Within what values will $99\mathrm{.}74$ percent of the sample means of this process fall if samples of $n=14$ are taken and the process is in

control $($random$)?$

Note: Round your answers to $2$ decimal places.

Lower value

Upper value

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

This process is in control.