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Sam's Long Life $75-$watt lightbulbs are designed to have a life of $1,150$ hours with tolerances of $-205$ hours. The process that makes lightbulbs has a mean of $1,010$ hours, with a standard deviation of $50$ hours. Compute the process capability ratio and the process capability index, and comment on the overall capability of the process. $($Round answers to $2$ decimal places, e$.$g$.2\mathrm{.}75.)$

Process capability ratio

Process capability index

$C_p=q,$ indicates the process $$ capable, $C_{pk}=$ indicates that bulbs will be generated.

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