Help hmtpx Swink 3e CISC 2531BUSN 3430 JANA Engjell Ferat Qu

Help /hm.tpx Swink 3e: CISC 2531-BUSN 3430 JANA Engjell Ferat Question 1 o

Solution

Q 6.2

T = target temperature = 350

Tolerance = ±5

Upper Specification limit (USL) = 350 + 5 = 355

Lower Specification limit (LSL) = 350 - 5 = 345

To be at 6 sigma level, process capability, C_p = 2

C_p = 2 = (USL – LSL)/6 = (355 – 455)/(6)

2 = 10/6

= 10/(6 x 2) = 0.8333

Standard deviation for 6 sigma level = 0.8333

Q 6.3 a

For three sigma level process, process capability, C_p = 1

C_p = 1 = (USL – LSL)/6 = (355 – 455)/(6)

1 = 10/6

= 10/(6 x 1) = 1.67

Standard deviation for 3 sigma level = 1.67

Q 6.3 b

T = target temperature = 350

Tolerance = ±5

Upper Specification limit (USL) = 350 + 5 = 355

Lower Specification limit (LSL) = 350 - 5 = 345

The process quality exactly meets the 3 sigma quality level,

Then the percentage of defective at the 3 sigma level = 6.68%

Percentage of times the oven temperature is beyond specification limits = 6.68%

Q 6.4 a

Tolerance range = 20 minutes

USL – LSL = 20

To be at 6 sigma level, process capability, C_p = 2

C_p = 2 = (USL – LSL)/6 = (20)/(6)

2 = 20/6

= 20/(6 x 2) = 1.67

Standard deviation for 6 sigma level = 1.67

If process quality meets the 6 sigma quality level,

At the 6 sigma level, defects per million opportunities = 3.4

3.4 times out of million deliveries bus deliver students either early of late