Two bowlers, Lawrence and Sam, bowl on different leagues and want to find out who has the higher three-game series score when compared to bowlers in their own leagues. • Lawrence has a score of 575, and his league has a mean score of 555 and a standard deviation of 40. • Sam has a score of 570, and her league has a mean of 560 and a standard deviation of 25. Who has the higher three-game series score when compared to their leagues? Assume the scores have a normal distribution for each league. Justify your answer.
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The z-score formula is given by: \$ z = \frac{x - \mu}{\sigma} \$ Where: - \( x \) is the individual's score. - \( \mu \) is the mean score of the league. - \( \sigma \) is the standard deviation of the league. For Lawrence: - \( x = 575 \) - \( \mu = 555 \) - Show more…
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