As part of an insurance company\'s training program, participants learn how to c
ID: 399591 • Letter: A
Question
As part of an insurance company's training program, participants learn how to conduct an analysis of clients' insurability. The goal is to have participants achieve a time in the range of 30 to 45 minutes. Test results for three participants were: Armand, a mean of 36.0 minutes and a standard deviation of 2.0 minutes; Jerry, a mean of 35.0 minutes and a standard deviation of 3.0 minutes, and Melissa, a mean of 37.5 minutes and a standard deviation of 3.0 minutes. a.Which of the participants would you judge to be capable? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Cpk Capable? Participants Armand Jerry Melissa No Yes Yes .can the value of the Cpk exceed the value of Cp for a given participant?Explanation / Answer
1. Cpk is defined as Min [ USL-mean /3sigma, mean -LSL/3sigma]
Cpk for Armand = min[ 45-36/3x2, 36-30/2x3 ]
= min (1.5,1) = 1 which is capable at 3 sigma
Cpk for Jerry = Min [ 45-35/3x3, 35-30/3x3]
= Min [ 10/9, 5/9] = 5/9 = 0.55 which is incapable
Cp for Mellissa
= USL-LSL / 6 sigma
= 45-30 /6x3 = 15/18 = 0.83 which is incapable,
b. The Cpk value can never be greater than cp but only equal to it when the process mean falls in the middle of specification limits.
2.
(a) Output of step 3 = 464 units
input of step 3 = 464 / 0.93 =499
Input of step 2 = 499/0.93 = 536
Input of step 1 = 536 /0.86 =624
(b) If the scrap is reduced to half
input of step 3 = 464 /0.965 =481
Input of step 2 = 481 / 0.965 =498
Input of step 1 = 498 /0.93 = 536 The units saved = 624-536 =88
(c) Units scrapped in part (a) = 624-464 = 160
Scrap cost = 10x160 =1600
Related Questions
Navigate
Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.