A final assembly plant that makes dishwashers inspects for $23$ features that are considered important for overall quality. During the previous month, $9056$ dishwashers were produced. During inspection, $479$ defects among the $23$ features were found, and $226$ dishwashers had one or more defect. Determine DPMO, DPM$,$ and DUPM for these data and convert each to its corresponding sigma level.

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