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 $47$ minutes. Test results for three participants were the following: Armand, a mean of $37\mathrm{.}0$ minutes and a standard deviation of $2\mathrm{.}0$ minutes; Jerry, a mean of $37\mathrm{.}0$ minutes and a standard deviation of $2\mathrm{.}0$ minutes; and Melissa, a mean of $38\mathrm{.}5$ minutes and a standard deviation of $2\mathrm{.}5$ minutes.

a$.$Compute process capability for the participants and determine whether each is capable. $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$

Is Armand capable?

No

Is Jerry capable?

No

Is Melissa capable?

Yes

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

multiple choice $4$

Yes

No