The Great Outdoors Clothing Company, a mail-order catalog operations, contracts with the Federal
Parcel Service to deliver all of its orders to customers. As such, Great Outdoors considers Federal
Parcel to be part of its QMS program. Great Outdoors processes orders rapidly and requires
Federal Parcel to pick them up and deliver them rapidly. Great Outdoors has tracked the delivery
time for five randomly selected orders for 12 samples during a two-week period as follows:

a) Construct an ???? ̅ chart in conjunction with an R-chart using 3σ limits for the delivery process
to determine if the process is in control.

b) The Great Outdoors Clothing Company has designed its packaging and delivery process to
deliver orders to a customer within 3 business days ± 1 day, which it tells customers. Using
the process mean and control limits developed in part a), compute the process capability
ratio and index, and determine if the process is capable to meet the company’s delivery
commitment.

Sample 1 6769SAWN 2 3 4 5 8 9 10 11 12 12526NSNHS 65 9 4 2 Delivery Time (days) 3 3 3 3 2 14 1 6 1 36 1 5 9 1 9 3 5 2 4 3 44 2 1 56336 MIN M 345NH3551 4352M6NM 53 2 1 123 2 3 9