QUESTION $25(10$ points$)-$ Process Capability Indexes

A ball bearing design for wheel assemblies used in giant mining dump trucks requires the inner

diameter to have a lower specification unit $($LSL$)$ of $1,095\mathrm{.}95mm$ and an upper specification unit

$($USL$)$ of $1,104\mathrm{.}05mm.$ A simple random sample of $350$ finished ball bearings, which were

produced by an approximately normally distributed process, has the sample average of $1,098\mathrm{.}73$

$mm$ and the sample standard deviation of $1\mathrm{.}28mm.$ A too small inner diameter is especially not

good because the ball bearing cannot be fitted into a regular axle. You would need to use $3$

decimal places in the following calculations.QUESTION $25(10$ points$)-$ Process Capability Indexes

A ball bearing design for wheel assemblies used in giant mining dump trucks requires the inner

diameter to have a lower specification unit $($LSL$)$ of $1,095\mathrm{.}95$ mm and an upper specification unit

$($USL$)$ of $1,104\mathrm{.}05$ mm$.$ A simple random sample of $350$ finished ball bearings, which were

produced by an approximately normally distributed process, has the sample average of $1,098\mathrm{.}73$

mm and the sample standard deviation of $1\mathrm{.}28$ mm$.$ A too small inner diameter is especially not

good because the ball bearing cannot be fitted into a regular axle. You would need to use $3$

decimal places in the following calculations.

$3$