The specification for a plastic handle calls for a length of $5\mathrm{.}0$ units $\backslash$pm $0\mathrm{.}2$ units. The standard

deviation of the process is estimated to be $0\mathrm{.}10$ units. Assume the process mean is $5\mathrm{.}05$ units.

a$.$ What are the upper and lower specification limits for this product? $(2$ Points$)$

b$.$ About what percent of all units of this plastic handle will be defective? $(7$ Points$)$

c$.$ Does this correspond to six sigma quality? Explain $(2$ Points$)$