Process Capability Practice Problems 2018 Problem with Solutions

Process Capability Practice Problems , 2018

Problem with Solutions A process that produces computer chips has a mean of. 03 defective chips and a standard deviation of. 003 chips. The allowable variation is from. 02 to. 04 defectives. A. Compute the capability ratio for the process. B. Is the process capable?

Problem 1 Yes, the process capability index indicates that the process will produce virtually 100 percent conforming output (the range of the process output permitted by specifications is larger than the actual range of the process).

Problem 1 (cont’d) Additional Question: What proportion of chips currently meet specifications?

Problem 2 Given the following list of machines, the standard deviation for each, and specifications for a job that may be processed on that machine, determine which machines are capable of performing the given jobs. Machine 001 002 003 004 005 Standard Deviation (gr) 0. 02 0. 04 0. 10 0. 05 0. 01 Job Specification (+/- gr) 0. 05 0. 07 0. 18 0. 15 0. 04

Problem 2 (cont’d) Given the following list of machines, the standard deviation for each, and specifications for a job that may be processed on that machine, determine which machines are capable of performing the given jobs. STD. JOB MACH DEV’N (in) SPEC. (+/- in. ) Cp 001 0. 02 0. 05. 10/6*. 02 =. 833 002 0. 04 0. 07. 14/6*. 04 =. 583 003 0. 10 0. 18. 36/6*. 10 =. 600 004 0. 05 0. 15. 30/6*. 05 = 1. 000 005 0. 01 0. 04. 08/6*. 01 = 1. 333

Problem 3 Suppose your manager presents you with the following information that could be used for a job, and wants your recommendation on which one to choose. The specification width is 0. 48 mm. In this instance, you can narrow the set of choices, but you probably wouldn’t make a recommendation without an additional piece of information. Explain. Cost per Standard Machine Unit ($) Deviation (mm) Cp A 20 0. 079 1. 01 B 12 0. 080 1. 00 C 11 0. 084 0. 95 D 10 0. 081 0. 99

Practice Problem 4 Customers of a pizza maker have specified that pizza crusts they order should be between 28 and 32 centimeters in diameter. Sample data indicates that the crusts actually have a mean diameter of 30 centimeters with standard deviation 1. 1 centimeters. Can the company deliver pizza crusts to customer specifications? Of every 1000 crusts, how many crusts will fail to meet specifications?

Solution to Practice Problem 4

Practice Problem 5

Solution to Practice Problem 5 (cont’d)

MID TERM EXAM Topics