# Meena Chavan Corp.'s computer chip production process yields DRAM chips with an average life of...

## Question:

Meena Chavan Corp.'s computer chip production process yields DRAM chips with an average life of 2,000 hours and sigma = 120 hours. The tolerance upper and lower specification limits are 2,600 hours and 1,700 hours, respectively.

Based on the given information, the process capability ratio, Upper Cp = _____ (round your response to two decimal? places).

## Process capability ratio

Process capability ratio is one of the statistical control methods which used to measure the variation occurred in the process naturally and can be used to compare with the different process at a time.

Given Information

Average life of 2,000 hours

Sigma is 120 hours

The tolerance upper specification limits 2,600 hours {eq}{/eq}

The tolerance lower specification limits 1,700 hours{eq}\left( {LSL} \right) {/eq}

Process capability Ratio

{eq}\begin{align*} &= \dfrac{{USL - LSL}}{{6\sigma }}\\ &= \dfrac{{2600 - 1700}}{{6 \times 120}}\\ &= 1.25 \end{align*} {/eq}

{eq}\begin{align*} upper {C_p} &= \dfrac{{USL - \hat \mu }}{{3\hat \sigma }}\\ &= \dfrac{{2600 - 2000}}{{3 \times 120}}\\ &= \dfrac{{600}}{{360}}\\ &= 1.67 \end{align*} {/eq}