Problem $10-1($Static$)$

Specifications for a part for a $3-$D printer state that the part should weigh between $24$ and $25$ ounces. The process that produces the parts has a mean of $24\mathrm{.}5$ ounces and a standard deviation of $2$ ounce. The distribution of output is normal. Use Table$-$A$.$

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

Percentage of parts

$\%$

b$.$ Within what values will $95\mathrm{.}44$ percent of the sample means of this process fall if samples of $n=16$ are taken and the process is in control $($random$)?($Round your answers to $2$ decimal places.$)$

Lower value

ounces, Upper value

ounces

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.

This process is not in control.