need in ms word Problem 1 (20 Points) ed bakery business. It produces boxed appl

ID: 382643 • Letter: N

Question

need in ms word

Problem 1 (20 Points) ed bakery business. It produces boxed apple pies for shipment y odards of quality and customer service, it follows six sigma quality nd Sale is a fh ed550,000 pies. Given the following information, tell if it met a family-owned high roduc all across the globe. To keep h t pro standards, On March 12, 2017 the six-sigma standard for th eNumber of Defects Defect Occurrences Source of Defect cracks Shape Topping Baking less/too much/missing over/under not sealed/missing/ripped 12 not sealed/crushed/damaged 3 defects not classified above Unknown* 10 6 Inner Wrapping Box Miscellaneous use the last two digits of your SHU Student ID to replace the Unknown number before making your calculations

Explanation / Answer

Six Sigma qualities allows for only 3.4 defects per million opportunities in manufacturing or service

Consider no. Of miscellaneous defects to be 10 for assumption (instead of student ID)

source of defect

defect occurrences

shape

topping

banking

inner wrapping

box

miscellaneous

Total defects

Defects =47

Opportunities per unit= 6 (for each pie, defects can happen at any or all of the opportunities like shape/topping etc. Anyone defect can lead to rejection of entire pie )

Sample size =550000

Total opportunities= Opportunities per unit * Sample size =6* 550000 = 3300000

Defects %

= [total number of defects found in the sample / total opportunities] * 100

= [47 / 3300000]* 100

=0.00142424

Yield = 1-defect % =1- 0.00142424 = 0.99857576

Z value corresponding to this yield in normal distribution table =4.19

In real life, over time and with large number of samples, a Sigma value is 1.5 Sigma less than that calculated. Hence 1.5 sigma is added to the calculated value

Process sigma adjusted for real life scenario =4.19+1.5= 5.69 sigma. The process is not falling under six sigma standards

ALSO,

DPMO = [total number of defects found in the sample / total opportunities] * 1000000== [47 / 3300000]* 1000000= 14.2424

DPMO is higher than expected standards of 3.4 defects per million opportunities. Hence, The process is not falling under six sigma standards