A shoe manufacturer has received complaints that shoes have been shipped with improper stitching to some customers. The manufacturer inspects a sample of 100 shoes from each of 10 lots with the following results.
Lot Number # of Defects Lot Number # of Defects
1 4 6 1
2 6 7 6
3 2 8 0
4 7 9 9
5 0 10 2
a. Calculate p-bar for this sampling
b. Determine the UCL and LCL (3 standard deviations) for this sampling.