You are considering accepting a contract to provide services to a new customer g

Q: You are considering accepting a contract to provide services to a new customer g

Cp=(USL-LSL)/(6*std dev) Cp 1.75 mean 7.5 min USL 8.48 min LSL 6.52 min 1.75=(8.48-6.52)/6s solving for s: 1.75 = 1.96/6s 6s=1.96/1.75 6s=1.12 s= 0.1867 min Standatd deviation of 0.1867 will meet this requirement Cp=(USL-LSL)/(6*std dev) Cp 1.75 mean 7.5 min USL 8.48 min LSL 6.52 min 1.75=(8.48-6.52)/6s solving for s: 1.75 = 1.96/6s 6s=1.96/1.75 6s=1.12 s= 0.1867 min Standatd deviation of 0.1867 will meet this requirement

ID: 383022 • Letter: Y

Question

You are considering accepting a contract to provide services to a new customer group. The contract includes a performance lause on wait time. It specifies that you must have a Cp of 1.75. You know you meet the requested average wait of 7.5 minutes. The customer specifications are for +/-0.98. You will use data collected from your current customer base to determine if you are able to meet this requirement. Using the standard deviation as a measure of the natural variation, what does the standard deviation have to be to meet the requirement? Format your answer with 4 decimal places.

Explanation / Answer

Cp=(USL-LSL)/(6*std dev)

1.75

mean

7.5

min

USL

8.48

min

LSL

6.52

min

1.75=(8.48-6.52)/6s

solving for s:

1.75 = 1.96/6s

6s=1.96/1.75

6s=1.12

0.1867

min

Standatd deviation of 0.1867 will meet this requirement