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Interpreting Standard Deviation
3. Describing Data Numerically / Interpreting Standard Deviation / Problem 6
Problem 6

You are evaluating year-end bonus trends at two potential employers. Companies X and Y have an average bonus of \(5,000\text{\$}5,000 with standard deviations of \)800\text{\$}800 and \(500\text{\$}500, respectively.
If you aim to receive a bonus of \)6,000\text{\$}6,000 or higher, at which company is that outcome more likely? Support your answer with statistical reasoning.