Question

Meena Chavan Corp.’s computer chip production process yields DRAM chips with an average life of 1,800 hours and s = 100 hours. The tolerance upper and lower specification limits are 2,400 hours and 1,600 hours, respectively. Is this process capable of producing DRAM chips to specification?

Answer 1

Answer:

The capability for lower specification  is less than 1.25 and therefore the process is not capable of producing DRAM chips to specification

Explanation:

Meena Chavan Corp.’s computer chip production process yields DRAM chips with an average life of 1,800 hours and s = 100 hours. The tolerance upper and lower specification limits are 2,400 hours and 1,600 hours, respectively. Is this process capable of producing DRAM chips to specification?

The capability index ratio is a statistical measurement. This analyzes whether a product is processed or produced within the supplied specifications. Managers can measure the process and determine if it is satisfactory or there changes that needs to be made.

a. We have the following parameters

Upper specification  =2400

lower specification=1600

average life (mean)=1800 hr

standard deviation  SD=100

capability of process

US-LS/(6*SD)

=2400-1600/(6*100)

800/600

1.33

minimum capability is$\frac{US-mean}{3*SD} ,\frac{mean-LS}{3*SD}$

$\frac{2400-1800}{3*100} ,\frac{1800-1600}{3*100}$

we have

600/300, 200/300

2,  0.67

The capability for lower specification  is less than 1.25 and therefore the process is not capable of producing DRAM chips to specification