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 32 to 45 minutes. Test results for three participants were: Armand, a mean of 38.0 minutes and a standard deviation of 3.0 minutes; Jerry, a mean of 34.0 minutes and a standard deviation of 2.0 minutes; and Melissa, a mean of 38.5 minutes and a standard deviation of 3.1 minutesa. Which of the participants would you judge to be capable?Participants :

Armand: Cpk _____ Cp Capable ? (Click to select)NoYes


Jerry: Cpk _____ Capable ? (Click to select)YesNo


Melissa Cp ________ (Click to select)NoYes


b.Can the value of the Cpk exceed the value of Cp for a given participant?

Answer 1

No

Yes

No

b. Yes

Step-by-step explanation:

When value of Cp is greater than 1 the process is considered capable.

If the value of Cp is less than 1 the process is not considered capable

When the value of Cp = 1 the process is considered stable.

Cp = USL - LSL / 6 * Standard deviation

Cp Armand = 45 - 32 / 6 * 3.0 = 0.72

Cp Jerry = 45 - 32 / 6 * 2.0 = 1.08

Cp Melissa = 45 - 32 / 6 * 3.1 = 0.69

Armand and Melissa are not considered capable. Jerry is capable

Cpk has only positive values. Lowest is the zero. The Cpk value can be greater than Cp for a participant.