(See Steps) Consistency is of great importance in manufacturing baseballs, for one does not want the balls to be either too lively or too dead. The balls


Question: Consistency is of great importance in manufacturing baseballs, for one does not want the balls to be either too lively or too dead. The balls are tested by dropping them from a standard height and then measuring how high they bounce. If a sample of 30 balls resulted in the following summary statistics,

\[\sum_{i=1}^{30} X_{i}=52.1 \quad \sum_{i=1}^{30} X_{i}^{2}=136.2\]

estimate the standard deviation of the size of the bounce. Hint: Recall the identity

\[\sum_{i=1}^{n}\left(x_{i}-\bar{x}\right)^{2}=\sum_{i=1}^{n} x_{i}^{2}-n \bar{x}^{2}\]

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