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Exercise 20

Avg difficulty 2.5

The mean running time for comedy movies is 139 minutes, with a standard deviation of 39.7 minutes. For action movies, the mean running time is 159 minutes, with a standard deviation of 26.2 minutes. A recent comedy movie had a running time of 102 minutes, while an action movie playing at the same theatre had a running time of 129 minutes. Which movie is shorter compared to other movies in the same genre? Explain your answer using Z-score.

Lee et al., Math in Society, §3.4 Summary Statistics: Measures of Variation, Exercise 20

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